{"title":"Total cross section of the process e++e−→Σ++Σ¯− including the D -meson loop and three-gluon contributions","authors":"Azad I. Ahmadov","doi":"10.1103/physrevd.111.056008","DOIUrl":null,"url":null,"abstract":"In the present paper, we investigate the production of a baryon pair in e</a:mi>+</a:mo></a:msup>e</a:mi>−</a:mo></a:msup></a:math> annihilation to study the structure of baryons. To study the basic structure of the Standard Model, it is also necessary to consider the baryon-antibaryon pair production at the electron-positron linear collider. The production of a baryon pair in electron-positron annihilation provides a powerful tool at higher center-of-mass energies. In this work, we present phenomenological results for <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msup><c:mi mathvariant=\"normal\">Σ</c:mi><c:mo>+</c:mo></c:msup><c:msup><c:mover accent=\"true\"><c:mi mathvariant=\"normal\">Σ</c:mi><c:mo stretchy=\"false\">¯</c:mo></c:mover><c:mo>−</c:mo></c:msup></c:math> production in <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>e</i:mi><i:mo>+</i:mo></i:msup><i:msup><i:mi>e</i:mi><i:mo>−</i:mo></i:msup></i:math> collision at the BESIII Collider. We investigate a hyperon pair produced in the reaction <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:msup><k:mi>e</k:mi><k:mo>+</k:mo></k:msup><k:msup><k:mi>e</k:mi><k:mo>−</k:mo></k:msup><k:mo stretchy=\"false\">→</k:mo><k:msup><k:mi mathvariant=\"normal\">Σ</k:mi><k:mo>+</k:mo></k:msup><k:msup><k:mover accent=\"true\"><k:mi mathvariant=\"normal\">Σ</k:mi><k:mo stretchy=\"false\">¯</k:mo></k:mover><k:mo>−</k:mo></k:msup></k:math>. Two different contributions are considered: the <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><r:mi>D</r:mi></r:math> meson loop and the three-gluon charmonium annihilation loop. Taking into account the contributions of the <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi>D</t:mi></t:math>-meson loop and three-gluon loops and the interference of all diagrams, we calculate the total cross section of the process <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><v:mrow><v:msup><v:mrow><v:mi>e</v:mi></v:mrow><v:mrow><v:mo>+</v:mo></v:mrow></v:msup><v:msup><v:mrow><v:mi>e</v:mi></v:mrow><v:mrow><v:mo>−</v:mo></v:mrow></v:msup><v:mo stretchy=\"false\">→</v:mo><v:msup><v:mrow><v:mi mathvariant=\"normal\">Σ</v:mi></v:mrow><v:mrow><v:mo>+</v:mo></v:mrow></v:msup><v:msup><v:mrow><v:mover accent=\"true\"><v:mrow><v:mi mathvariant=\"normal\">Σ</v:mi></v:mrow><v:mrow><v:mo stretchy=\"false\">¯</v:mo></v:mrow></v:mover></v:mrow><v:mrow><v:mo>−</v:mo></v:mrow></v:msup></v:mrow></v:math>. With respect to a purely electromagnetic mechanism, large relative phases are generated for these contributions. We obtain as a byproduct a fit of the electromagnetic form factor of the <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:mi mathvariant=\"normal\">Σ</cb:mi></cb:math> hyperon for a large momentum transferred region. In this process, in addition to <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:mi>ψ</fb:mi><fb:mo stretchy=\"false\">(</fb:mo><fb:mn>3770</fb:mn><fb:mo stretchy=\"false\">)</fb:mo></fb:math> charmonium, we also take into account the contributions of other charmonium (like) states, <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:mi>ψ</jb:mi><jb:mo stretchy=\"false\">(</jb:mo><jb:mn>4040</jb:mn><jb:mo stretchy=\"false\">)</jb:mo></jb:math>, <nb:math xmlns:nb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nb:mi>ψ</nb:mi><nb:mo stretchy=\"false\">(</nb:mo><nb:mn>4160</nb:mn><nb:mo stretchy=\"false\">)</nb:mo></nb:math>, <rb:math xmlns:rb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><rb:mi>Y</rb:mi><rb:mo stretchy=\"false\">(</rb:mo><rb:mn>4230</rb:mn><rb:mo stretchy=\"false\">)</rb:mo></rb:math>, <vb:math xmlns:vb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><vb:mi>Y</vb:mi><vb:mo stretchy=\"false\">(</vb:mo><vb:mn>4360</vb:mn><vb:mo stretchy=\"false\">)</vb:mo></vb:math>, <zb:math xmlns:zb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><zb:mi>ψ</zb:mi><zb:mo stretchy=\"false\">(</zb:mo><zb:mn>4415</zb:mn><zb:mo stretchy=\"false\">)</zb:mo></zb:math>, and <dc:math xmlns:dc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><dc:mi>Y</dc:mi><dc:mo stretchy=\"false\">(</dc:mo><dc:mn>4660</dc:mn><dc:mo stretchy=\"false\">)</dc:mo></dc:math>. The obtained results are in good agreement with experimental data. <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":"31 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-10","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.111.056008","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 the present paper, we investigate the production of a baryon pair in e+e− annihilation to study the structure of baryons. To study the basic structure of the Standard Model, it is also necessary to consider the baryon-antibaryon pair production at the electron-positron linear collider. The production of a baryon pair in electron-positron annihilation provides a powerful tool at higher center-of-mass energies. In this work, we present phenomenological results for Σ+Σ¯− production in e+e− collision at the BESIII Collider. We investigate a hyperon pair produced in the reaction e+e−→Σ+Σ¯−. Two different contributions are considered: the D meson loop and the three-gluon charmonium annihilation loop. Taking into account the contributions of the D-meson loop and three-gluon loops and the interference of all diagrams, we calculate the total cross section of the process e+e−→Σ+Σ¯−. With respect to a purely electromagnetic mechanism, large relative phases are generated for these contributions. We obtain as a byproduct a fit of the electromagnetic form factor of the Σ hyperon for a large momentum transferred region. In this process, in addition to ψ(3770) charmonium, we also take into account the contributions of other charmonium (like) states, ψ(4040), ψ(4160), Y(4230), Y(4360), ψ(4415), and Y(4660). The obtained results are in good agreement with experimental data. 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.
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