Production potential of hidden-strange molecular pentaquarks through the π−p→K*Σ process

IF 5 2区 物理与天体物理 Q1 Physics and Astronomy
Xiao-Yun Wang, Yuan Gao, Xiang Liu
{"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 πpK*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 πpK*ΣK+πΣ0 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 πpK*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 πpK*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 Society 2025
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: 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: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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