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{"title":"在大型强子对撞机上探索超相对论129Xe+129Xe对撞中的核形状相变","authors":"Shujun Zhao, Hao-jie Xu, You Zhou, Yu-Xin Liu, Huichao Song","doi":"10.1103/physrevlett.133.192301","DOIUrl":null,"url":null,"abstract":"The shape phase transition for certain isotope or isotone chains, associated with the quantum phase transition of finite nuclei, is an intriguing phenomenon in nuclear physics. A notable case is the Xe isotope chain, where the structure transits from a <mjx-container ctxtmenu_counter=\"35\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"gamma\" data-semantic-type=\"identifier\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft rotor to a spherical vibrator, with the second-order shape phase transition occurring in the vicinity of <mjx-container ctxtmenu_counter=\"36\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(8 0 1 (5 2 3 4) 6 7)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,5,6,7\" data-semantic-collapsed=\"(8 0 1 5 6 7)\" data-semantic- data-semantic-owns=\"0 1 5 6 7\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 128 130 Baseline upper X e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow data-semantic-children=\"2,4\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3 4\" data-semantic-parent=\"8\" data-semantic-role=\"leftsuper\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.647em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.647em;\">2</mjx-c><mjx-c style=\"padding-top: 0.647em;\">8</mjx-c></mjx-mn><mjx-mi data-semantic- data-semantic-operator=\"infixop,–\" data-semantic-parent=\"5\" data-semantic-role=\"dash\" data-semantic-type=\"operator\"><mjx-c>–</mjx-c></mjx-mi><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">3</mjx-c><mjx-c style=\"padding-top: 0.644em;\">0</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>. In this Letter, we focus on investigating the <mjx-container ctxtmenu_counter=\"37\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"gamma\" data-semantic-type=\"identifier\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft deformation of <mjx-container ctxtmenu_counter=\"38\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 129 Baseline upper X e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> associated with the second-order shape phase transition by constructing novel correlators for ultrarelativistic <mjx-container ctxtmenu_counter=\"39\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(13 (5 0 1 2 3 4) 6 (12 7 8 9 10 11))\"><mjx-mrow data-semantic-children=\"5,12\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"5 6 12\" data-semantic-role=\"addition\" data-semantic-speech=\"Superscript 129 Baseline upper X e plus Superscript 129 Baseline upper X e\" data-semantic-type=\"infixop\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"infixop,+\" data-semantic-parent=\"13\" data-semantic-role=\"addition\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>+</mjx-c></mjx-mo><mjx-mrow space=\"3\"><mjx-mmultiscripts data-semantic-children=\"7,8,9,10,11\" data-semantic-collapsed=\"(12 7 8 9 10 11)\" data-semantic- data-semantic-owns=\"7 8 9 10 11\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-mrow></mjx-math></mjx-container> collisions. In particular, our iEBE-VISHNU model calculations show that the correlation between elliptic flow <mjx-container ctxtmenu_counter=\"40\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"v 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑣</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> and mean transverse momentum <mjx-container ctxtmenu_counter=\"41\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-children=\"3\" data-semantic-content=\"0,4\" data-semantic- data-semantic-owns=\"0 3 4\" data-semantic-role=\"leftright\" data-semantic-speech=\"left bracket p Subscript upper T Baseline right bracket\" data-semantic-structure=\"(5 0 (3 1 2) 4)\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>[</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>]</mjx-c></mjx-mo></mjx-math></mjx-container>, denoted as <mjx-container ctxtmenu_counter=\"42\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"rho 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container>, as well as the <mjx-container ctxtmenu_counter=\"43\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-children=\"3\" data-semantic-content=\"0,4\" data-semantic- data-semantic-owns=\"0 3 4\" data-semantic-role=\"leftright\" data-semantic-speech=\"left bracket p Subscript upper T Baseline right bracket\" data-semantic-structure=\"(5 0 (3 1 2) 4)\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>[</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>]</mjx-c></mjx-mo></mjx-math></mjx-container> fluctuation <mjx-container ctxtmenu_counter=\"44\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(4 0 (3 1 2))\"><mjx-msub data-semantic-children=\"0,3\" data-semantic- data-semantic-owns=\"0 3\" data-semantic-role=\"greekletter\" data-semantic-speech=\"normal upper Gamma Subscript p Sub Subscript upper T\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>Γ</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-script></mjx-msub></mjx-math></mjx-container>, which were previously used to claim the evidence of the rigid triaxial deformation of <mjx-container ctxtmenu_counter=\"45\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 129 Baseline upper X e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>, can also be well explained by the <mjx-container ctxtmenu_counter=\"46\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"gamma\" data-semantic-type=\"identifier\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft deformation of <mjx-container ctxtmenu_counter=\"47\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 129 Baseline upper X e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>. We further propose two novel correlators <mjx-container ctxtmenu_counter=\"48\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 (4 1 2 3))\"><mjx-msub data-semantic-children=\"0,4\" data-semantic- data-semantic-owns=\"0 4\" data-semantic-role=\"greekletter\" data-semantic-speech=\"rho Subscript 4 comma 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mrow data-semantic-children=\"1,2,3\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"5\" data-semantic-role=\"sequence\" data-semantic-type=\"punctuated\" size=\"s\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>4</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"4\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\"><mjx-c>,</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"49\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 (4 1 2 3))\"><mjx-msub data-semantic-children=\"0,4\" data-semantic- data-semantic-owns=\"0 4\" data-semantic-role=\"greekletter\" data-semantic-speech=\"rho Subscript 2 comma 4\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mrow data-semantic-children=\"1,2,3\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"5\" data-semantic-role=\"sequence\" data-semantic-type=\"punctuated\" size=\"s\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"4\" data-semantic-role=\"comma\" data-semantic-type=\"punctuation\"><mjx-c>,</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>4</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-math></mjx-container>, which carry nontrivial higher-order correlations and show unique capabilities to distinguish between the <mjx-container ctxtmenu_counter=\"50\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"gamma\" data-semantic-type=\"identifier\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft and the rigid triaxial deformation of <mjx-container ctxtmenu_counter=\"51\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 2 3 4)\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-role=\"unknown\" data-semantic-speech=\"Superscript 129 Baseline upper X e\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> in <mjx-container ctxtmenu_counter=\"52\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math breakable=\"true\" data-semantic-children=\"5,12\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"5 6 12\" data-semantic-role=\"addition\" data-semantic-speech=\"Superscript 129 Baseline upper X e plus Superscript 129 Baseline upper X e\" data-semantic-structure=\"(13 (5 0 1 2 3 4) 6 (12 7 8 9 10 11))\" data-semantic-type=\"infixop\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\"0,1,2,3,4\" data-semantic-collapsed=\"(5 0 1 2 3 4)\" data-semantic- data-semantic-owns=\"0 1 2 3 4\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow><mjx-break size=\"3\"></mjx-break><mjx-mo data-semantic- data-semantic-operator=\"infixop,+\" data-semantic-parent=\"13\" data-semantic-role=\"addition\" data-semantic-type=\"operator\"><mjx-c>+</mjx-c></mjx-mo><mjx-mrow space=\"3\"><mjx-mmultiscripts data-semantic-children=\"7,8,9,10,11\" data-semantic-collapsed=\"(12 7 8 9 10 11)\" data-semantic- data-semantic-owns=\"7 8 9 10 11\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"tensor\"><mjx-prescripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-mrow size=\"s\"><mjx-mn data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"leftsuper\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">2</mjx-c><mjx-c style=\"padding-top: 0.646em;\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\"height: 0.622em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"leftsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">X</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\"vertical-align: 0.384em;\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"rightsuper\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\"height: 0.631em;\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"12\" data-semantic-role=\"rightsub\" data-semantic-type=\"empty\" size=\"s\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> collisions at the LHC. The present study provides a novel way to explore the second-order shape phase transition of finite nuclei with ultrarelativistic heavy ion collisions.","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":"16 1","pages":""},"PeriodicalIF":8.1000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exploring the Nuclear-Shape Phase Transition in Ultrarelativistic129Xe+129XeCollisions at the LHC\",\"authors\":\"Shujun Zhao, Hao-jie Xu, You Zhou, Yu-Xin Liu, Huichao Song\",\"doi\":\"10.1103/physrevlett.133.192301\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The shape phase transition for certain isotope or isotone chains, associated with the quantum phase transition of finite nuclei, is an intriguing phenomenon in nuclear physics. A notable case is the Xe isotope chain, where the structure transits from a <mjx-container ctxtmenu_counter=\\\"35\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"gamma\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft rotor to a spherical vibrator, with the second-order shape phase transition occurring in the vicinity of <mjx-container ctxtmenu_counter=\\\"36\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(8 0 1 (5 2 3 4) 6 7)\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,5,6,7\\\" data-semantic-collapsed=\\\"(8 0 1 5 6 7)\\\" data-semantic- data-semantic-owns=\\\"0 1 5 6 7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"Superscript 128 130 Baseline upper X e\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow data-semantic-children=\\\"2,4\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"2 3 4\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.647em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.647em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.647em;\\\">8</mjx-c></mjx-mn><mjx-mi data-semantic- data-semantic-operator=\\\"infixop,–\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"dash\\\" data-semantic-type=\\\"operator\\\"><mjx-c>–</mjx-c></mjx-mi><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">3</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">0</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>. In this Letter, we focus on investigating the <mjx-container ctxtmenu_counter=\\\"37\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"gamma\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft deformation of <mjx-container ctxtmenu_counter=\\\"38\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> associated with the second-order shape phase transition by constructing novel correlators for ultrarelativistic <mjx-container ctxtmenu_counter=\\\"39\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(13 (5 0 1 2 3 4) 6 (12 7 8 9 10 11))\\\"><mjx-mrow data-semantic-children=\\\"5,12\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"5 6 12\\\" data-semantic-role=\\\"addition\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e plus Superscript 129 Baseline upper X e\\\" data-semantic-type=\\\"infixop\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,+\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"addition\\\" data-semantic-type=\\\"operator\\\" space=\\\"3\\\"><mjx-c>+</mjx-c></mjx-mo><mjx-mrow space=\\\"3\\\"><mjx-mmultiscripts data-semantic-children=\\\"7,8,9,10,11\\\" data-semantic-collapsed=\\\"(12 7 8 9 10 11)\\\" data-semantic- data-semantic-owns=\\\"7 8 9 10 11\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-mrow></mjx-math></mjx-container> collisions. In particular, our iEBE-VISHNU model calculations show that the correlation between elliptic flow <mjx-container ctxtmenu_counter=\\\"40\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"v 2\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑣</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> and mean transverse momentum <mjx-container ctxtmenu_counter=\\\"41\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-children=\\\"3\\\" data-semantic-content=\\\"0,4\\\" data-semantic- data-semantic-owns=\\\"0 3 4\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left bracket p Subscript upper T Baseline right bracket\\\" data-semantic-structure=\\\"(5 0 (3 1 2) 4)\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>[</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>]</mjx-c></mjx-mo></mjx-math></mjx-container>, denoted as <mjx-container ctxtmenu_counter=\\\"42\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"rho 2\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container>, as well as the <mjx-container ctxtmenu_counter=\\\"43\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-children=\\\"3\\\" data-semantic-content=\\\"0,4\\\" data-semantic- data-semantic-owns=\\\"0 3 4\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left bracket p Subscript upper T Baseline right bracket\\\" data-semantic-structure=\\\"(5 0 (3 1 2) 4)\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>[</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>]</mjx-c></mjx-mo></mjx-math></mjx-container> fluctuation <mjx-container ctxtmenu_counter=\\\"44\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(4 0 (3 1 2))\\\"><mjx-msub data-semantic-children=\\\"0,3\\\" data-semantic- data-semantic-owns=\\\"0 3\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"normal upper Gamma Subscript p Sub Subscript upper T\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>Γ</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑝</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑇</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-script></mjx-msub></mjx-math></mjx-container>, which were previously used to claim the evidence of the rigid triaxial deformation of <mjx-container ctxtmenu_counter=\\\"45\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>, can also be well explained by the <mjx-container ctxtmenu_counter=\\\"46\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"gamma\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft deformation of <mjx-container ctxtmenu_counter=\\\"47\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container>. We further propose two novel correlators <mjx-container ctxtmenu_counter=\\\"48\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 (4 1 2 3))\\\"><mjx-msub data-semantic-children=\\\"0,4\\\" data-semantic- data-semantic-owns=\\\"0 4\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"rho Subscript 4 comma 2\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mrow data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"1 2 3\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"sequence\\\" data-semantic-type=\\\"punctuated\\\" size=\\\"s\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>4</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"punctuated\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"comma\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>,</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\\\"49\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 (4 1 2 3))\\\"><mjx-msub data-semantic-children=\\\"0,4\\\" data-semantic- data-semantic-owns=\\\"0 4\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"rho Subscript 2 comma 4\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜌</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mrow data-semantic-children=\\\"1,2,3\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"1 2 3\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"sequence\\\" data-semantic-type=\\\"punctuated\\\" size=\\\"s\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"punctuated\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"comma\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>,</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>4</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-math></mjx-container>, which carry nontrivial higher-order correlations and show unique capabilities to distinguish between the <mjx-container ctxtmenu_counter=\\\"50\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"gamma\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝛾</mjx-c></mjx-mi></mjx-math></mjx-container>-soft and the rigid triaxial deformation of <mjx-container ctxtmenu_counter=\\\"51\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 2 3 4)\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> in <mjx-container ctxtmenu_counter=\\\"52\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math breakable=\\\"true\\\" data-semantic-children=\\\"5,12\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"5 6 12\\\" data-semantic-role=\\\"addition\\\" data-semantic-speech=\\\"Superscript 129 Baseline upper X e plus Superscript 129 Baseline upper X e\\\" data-semantic-structure=\\\"(13 (5 0 1 2 3 4) 6 (12 7 8 9 10 11))\\\" data-semantic-type=\\\"infixop\\\"><mjx-mrow><mjx-mmultiscripts data-semantic-children=\\\"0,1,2,3,4\\\" data-semantic-collapsed=\\\"(5 0 1 2 3 4)\\\" data-semantic- data-semantic-owns=\\\"0 1 2 3 4\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow><mjx-break size=\\\"3\\\"></mjx-break><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,+\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"addition\\\" data-semantic-type=\\\"operator\\\"><mjx-c>+</mjx-c></mjx-mo><mjx-mrow space=\\\"3\\\"><mjx-mmultiscripts data-semantic-children=\\\"7,8,9,10,11\\\" data-semantic-collapsed=\\\"(12 7 8 9 10 11)\\\" data-semantic- data-semantic-owns=\\\"7 8 9 10 11\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"tensor\\\"><mjx-prescripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-mrow size=\\\"s\\\"><mjx-mn data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"leftsuper\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">2</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">9</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.622em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"leftsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">X</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-scripts style=\\\"vertical-align: 0.384em;\\\"><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"rightsuper\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row><mjx-row style=\\\"height: 0.631em;\\\"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"rightsub\\\" data-semantic-type=\\\"empty\\\" size=\\\"s\\\"></mjx-none></mjx-cell></mjx-row></mjx-scripts></mjx-mmultiscripts></mjx-mrow></mjx-math></mjx-container> collisions at the LHC. The present study provides a novel way to explore the second-order shape phase transition of finite nuclei with ultrarelativistic heavy ion collisions.\",\"PeriodicalId\":20069,\"journal\":{\"name\":\"Physical review letters\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":8.1000,\"publicationDate\":\"2024-11-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical review letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevlett.133.192301\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.133.192301","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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