{"title":"Production potential of hidden-strange molecular pentaquarks through the π−p→K*Σ process","authors":"Xiao-Yun Wang, Yuan Gao, Xiang Liu","doi":"10.1103/physrevd.111.034021","DOIUrl":null,"url":null,"abstract":"In this study, applying the effective Lagrangian approach, we investigate the reaction π</a:mi></a:mrow>−</a:mo></a:mrow></a:msup>p</a:mi>→</a:mo>K</a:mi></a:mrow>*</a:mo></a:mrow></a:msup>Σ</a:mi></a:mrow></a:math> to explore the production of the hidden-strange molecular pentaquarks <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>P</e:mi><e:mrow><e:mi>s</e:mi><e:mover accent=\"true\"><e:mi>s</e:mi><e:mo stretchy=\"false\">¯</e:mo></e:mover></e:mrow></e:msub></e:math>. Specifically, we analyze two scenarios, where the <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>J</i:mi><i:mi>P</i:mi></i:msup></i:math> quantum numbers of <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mrow><k:msub><k:mrow><k:mi>P</k:mi></k:mrow><k:mrow><k:mi>s</k:mi><k:mover accent=\"true\"><k:mrow><k:mi>s</k:mi></k:mrow><k:mrow><k:mo stretchy=\"false\">¯</k:mo></k:mrow></k:mover></k:mrow></k:msub></k:mrow></k:math> are <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mn>3</o:mn><o:mo>/</o:mo><o:msup><o:mn>2</o:mn><o:mo>−</o:mo></o:msup></o:math> and <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mn>1</q:mn><q:mo>/</q:mo><q:msup><q:mn>2</q:mn><q:mo>−</q:mo></q:msup></q:math>. Our results show that the contribution from <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>s</s:mi></s:math>-channel <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msub><u:mi>P</u:mi><u:mrow><u:mi>s</u:mi><u:mover accent=\"true\"><u:mi>s</u:mi><u:mo stretchy=\"false\">¯</u:mo></u:mover></u:mrow></u:msub></u:math> exchange dominates the total cross section, surpassing those from <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi>t</y:mi></y:math>-channel K</ab:mi>(</ab:mo>*</ab:mo>)</ab:mo></ab:mrow></ab:msup></ab:math> exchange and <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:mi>u</eb:mi></eb:math>-channel <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mi mathvariant=\"normal\">Σ</gb:mi></gb:math> exchange. Additionally, we present predictions for the differential cross section of the <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:mrow><jb:msup><jb:mrow><jb:mi>π</jb:mi></jb:mrow><jb:mrow><jb:mo>−</jb:mo></jb:mrow></jb:msup><jb:mi>p</jb:mi><jb:mo stretchy=\"false\">→</jb:mo><jb:msup><jb:mrow><jb:mi>K</jb:mi></jb:mrow><jb:mrow><jb:mo>*</jb:mo></jb:mrow></jb:msup><jb:mi mathvariant=\"normal\">Σ</jb:mi></jb:mrow></jb:math> process. Finally, we extend the 2-to-2 scattering process to the 2-to-3 Dalitz process and provide theoretical predictions for this scenario. Our findings suggest that the cross section for the <nb:math xmlns:nb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nb:mrow><nb:msup><nb:mrow><nb:mi>π</nb:mi></nb:mrow><nb:mrow><nb:mo>−</nb:mo></nb:mrow></nb:msup><nb:mi>p</nb:mi><nb:mo stretchy=\"false\">→</nb:mo><nb:msup><nb:mrow><nb:mi>K</nb:mi></nb:mrow><nb:mrow><nb:mo>*</nb:mo></nb:mrow></nb:msup><nb:mi mathvariant=\"normal\">Σ</nb:mi><nb:mo stretchy=\"false\">→</nb:mo><nb:msup><nb:mrow><nb:mi>K</nb:mi></nb:mrow><nb:mrow><nb:mo>+</nb:mo></nb:mrow></nb:msup><nb:msup><nb:mrow><nb:mi>π</nb:mi></nb:mrow><nb:mrow><nb:mo>−</nb:mo></nb:mrow></nb:msup><nb:msup><nb:mrow><nb:mi mathvariant=\"normal\">Σ</nb:mi></nb:mrow><nb:mrow><nb:mn>0</nb:mn></nb:mrow></nb:msup></nb:mrow></nb:math> process can reach several tens of <tb:math xmlns:tb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><tb:mi>μ</tb:mi><tb:mi>b</tb:mi></tb:math> near the threshold, making it highly favorable for experimental measurement. However, the current scarcity of experimental data for the <vb:math xmlns:vb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><vb:mrow><vb:msup><vb:mrow><vb:mi>π</vb:mi></vb:mrow><vb:mrow><vb:mo>−</vb:mo></vb:mrow></vb:msup><vb:mi>p</vb:mi><vb:mo stretchy=\"false\">→</vb:mo><vb:msup><vb:mrow><vb:mi>K</vb:mi></vb:mrow><vb:mrow><vb:mo>*</vb:mo></vb:mrow></vb:msup><vb:mi mathvariant=\"normal\">Σ</vb:mi></vb:mrow></vb:math> reaction at threshold energy limits our ability to determine the properties of the hidden-strange molecular pentaquarks <zb:math xmlns:zb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><zb:msub><zb:mi>P</zb:mi><zb:mrow><zb:mi>s</zb:mi><zb:mover accent=\"true\"><zb:mi>s</zb:mi><zb:mo stretchy=\"false\">¯</zb:mo></zb:mover></zb:mrow></zb:msub></zb:math> and related physical quantities. Therefore, additional experimental measurements of the <dc:math xmlns:dc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><dc:msup><dc:mi>π</dc:mi><dc:mo>−</dc:mo></dc:msup><dc:mi>p</dc:mi><dc:mo stretchy=\"false\">→</dc:mo><dc:msup><dc:mi>K</dc:mi><dc:mo>*</dc:mo></dc:msup><dc:mi mathvariant=\"normal\">Σ</dc:mi></dc:math> reaction at threshold are strongly encouraged, and correlation studies could be pursued at facilities such as J-PARC, AMBER, and upcoming HIKE and HIAF meson beam experiments. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"61 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.034021","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, applying the effective Lagrangian approach, we investigate the reaction π−p→K*Σ to explore the production of the hidden-strange molecular pentaquarks Pss¯. Specifically, we analyze two scenarios, where the JP quantum numbers of Pss¯ are 3/2− and 1/2−. Our results show that the contribution from s-channel Pss¯ exchange dominates the total cross section, surpassing those from t-channel K(*) exchange and u-channel Σ exchange. Additionally, we present predictions for the differential cross section of the π−p→K*Σ process. Finally, we extend the 2-to-2 scattering process to the 2-to-3 Dalitz process and provide theoretical predictions for this scenario. Our findings suggest that the cross section for the π−p→K*Σ→K+π−Σ0 process can reach several tens of μb near the threshold, making it highly favorable for experimental measurement. However, the current scarcity of experimental data for the π−p→K*Σ reaction at threshold energy limits our ability to determine the properties of the hidden-strange molecular pentaquarks Pss¯ and related physical quantities. Therefore, additional experimental measurements of the π−p→K*Σ reaction at threshold are strongly encouraged, and correlation studies could be pursued at facilities such as J-PARC, AMBER, and upcoming HIKE and HIAF meson beam experiments. Published by the American Physical Society2025
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Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
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