{"title":"短距离相互作用在 e+e-→γX(3872) 中的作用","authors":"Ming-Xiao Duan","doi":"10.1103/physrevd.110.034027","DOIUrl":null,"url":null,"abstract":"In this study, we analyze the cross-section data from the <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy=\"false\">→</mo><mi>γ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>ω</mi></math> process to explore both short-distance and long-distance interactions for the radiative transition <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Y</mi><mo stretchy=\"false\">(</mo><mn>4200</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">→</mo><mi>γ</mi><mi>X</mi><mo stretchy=\"false\">(</mo><mn>3872</mn><mo stretchy=\"false\">)</mo></math>. We investigate the short-distance effects through the E1 transition among the <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>c</mi><mover accent=\"true\"><mi>c</mi><mo stretchy=\"false\">¯</mo></mover></math> components, and the long-distance effects via hadronic loop diagrams. Our numerical analysis reveals that short-distance interactions play a significantly larger role in the radiative transition than that of the long-distance interactions. This finding underscores the importance of the compact <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>c</mi><mover accent=\"true\"><mi>c</mi><mo stretchy=\"false\">¯</mo></mover></math> components in both the initial and the final states for accurately understanding the cross-section <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>σ</mi><mo stretchy=\"false\">[</mo><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy=\"false\">→</mo><mi>γ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>ω</mi><mo stretchy=\"false\">]</mo></math>. Furthermore, with the help of relative branch ratio <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"script\">R</mi></math> we estimate the <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">Γ</mi><mo stretchy=\"false\">[</mo><mi>Y</mi><mo stretchy=\"false\">(</mo><mn>4200</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">→</mo><mi>γ</mi><mi>X</mi><mo stretchy=\"false\">(</mo><mn>3872</mn><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">]</mo></math> implied in the experimental study. Finally, we also discuss the possible existence of the <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>ψ</mi><mo stretchy=\"false\">(</mo><mn>4040</mn><mo stretchy=\"false\">)</mo></math> signal within the cross-section data.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"49 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Role of the short-distance interaction in e+e−→γX(3872)\",\"authors\":\"Ming-Xiao Duan\",\"doi\":\"10.1103/physrevd.110.034027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we analyze the cross-section data from the <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy=\\\"false\\\">→</mo><mi>γ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>ω</mi></math> process to explore both short-distance and long-distance interactions for the radiative transition <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>Y</mi><mo stretchy=\\\"false\\\">(</mo><mn>4200</mn><mo stretchy=\\\"false\\\">)</mo><mo stretchy=\\\"false\\\">→</mo><mi>γ</mi><mi>X</mi><mo stretchy=\\\"false\\\">(</mo><mn>3872</mn><mo stretchy=\\\"false\\\">)</mo></math>. We investigate the short-distance effects through the E1 transition among the <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>c</mi><mover accent=\\\"true\\\"><mi>c</mi><mo stretchy=\\\"false\\\">¯</mo></mover></math> components, and the long-distance effects via hadronic loop diagrams. Our numerical analysis reveals that short-distance interactions play a significantly larger role in the radiative transition than that of the long-distance interactions. This finding underscores the importance of the compact <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>c</mi><mover accent=\\\"true\\\"><mi>c</mi><mo stretchy=\\\"false\\\">¯</mo></mover></math> components in both the initial and the final states for accurately understanding the cross-section <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>σ</mi><mo stretchy=\\\"false\\\">[</mo><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy=\\\"false\\\">→</mo><mi>γ</mi><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>ω</mi><mo stretchy=\\\"false\\\">]</mo></math>. Furthermore, with the help of relative branch ratio <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi mathvariant=\\\"script\\\">R</mi></math> we estimate the <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi mathvariant=\\\"normal\\\">Γ</mi><mo stretchy=\\\"false\\\">[</mo><mi>Y</mi><mo stretchy=\\\"false\\\">(</mo><mn>4200</mn><mo stretchy=\\\"false\\\">)</mo><mo stretchy=\\\"false\\\">→</mo><mi>γ</mi><mi>X</mi><mo stretchy=\\\"false\\\">(</mo><mn>3872</mn><mo stretchy=\\\"false\\\">)</mo><mo stretchy=\\\"false\\\">]</mo></math> implied in the experimental study. Finally, we also discuss the possible existence of the <math display=\\\"inline\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>ψ</mi><mo stretchy=\\\"false\\\">(</mo><mn>4040</mn><mo stretchy=\\\"false\\\">)</mo></math> signal within the cross-section data.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"49 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2024-08-21\",\"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.110.034027\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.110.034027","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}
Role of the short-distance interaction in e+e−→γX(3872)
In this study, we analyze the cross-section data from the process to explore both short-distance and long-distance interactions for the radiative transition . We investigate the short-distance effects through the E1 transition among the components, and the long-distance effects via hadronic loop diagrams. Our numerical analysis reveals that short-distance interactions play a significantly larger role in the radiative transition than that of the long-distance interactions. This finding underscores the importance of the compact components in both the initial and the final states for accurately understanding the cross-section . Furthermore, with the help of relative branch ratio we estimate the implied in the experimental study. Finally, we also discuss the possible existence of the signal within the cross-section data.
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.