{"title":"Topological diagram analysis of Bc3‾→B10M decays in the SU(3)F limit and beyond","authors":"","doi":"10.1016/j.physletb.2024.139039","DOIUrl":null,"url":null,"abstract":"<div><div>Charm baryon decay plays an important role in studying non-perturbative baryonic transitions. Compared to other hadron multiplets, the flavor symmetry of baryon decuplet is more simple and attractive. In this work, we study the topological amplitudes of charmed baryon decays into decuplet baryon in the flavor symmetry and the linear <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> breaking. It is found most of topological diagrams are suppressed by the Körner-Pati-Woo theorem in the <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> limit. Only two independent amplitudes contributing to the <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi><mover><mrow><mn>3</mn></mrow><mo>‾</mo></mover></mrow></msub><mo>→</mo><msub><mrow><mi>B</mi></mrow><mrow><mn>10</mn></mrow></msub><mi>M</mi></math></span> decays, with one dominating the branching fractions. The Lee-Yang parameters of all <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi><mover><mrow><mn>3</mn></mrow><mo>‾</mo></mover></mrow></msub><mo>→</mo><msub><mrow><mi>B</mi></mrow><mrow><mn>10</mn></mrow></msub><mi>M</mi></math></span> modes are the same in the <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> limit, and there are only four possible values for the CP asymmetries. After including the first-order <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> breaking effects, the <span><math><msubsup><mrow><mi>Ξ</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><msup><mrow><mi>Σ</mi></mrow><mrow><mo>⁎</mo><mo>+</mo></mrow></msup><msup><mrow><mover><mrow><mi>K</mi></mrow><mo>‾</mo></mover></mrow><mrow><mn>0</mn></mrow></msup></math></span> and <span><math><msubsup><mrow><mi>Ξ</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><msup><mrow><mi>Ξ</mi></mrow><mrow><mo>⁎</mo><mn>0</mn></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></math></span> decays have non-zero branching fractions. The number of free parameter contributing to the <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi><mover><mrow><mn>3</mn></mrow><mo>‾</mo></mover></mrow></msub><mo>→</mo><msub><mrow><mi>B</mi></mrow><mrow><mn>10</mn></mrow></msub><mi>M</mi></math></span> decays in the linear <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> breaking is smaller than the available data. The <span><math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow><mrow><mi>F</mi></mrow></msub></math></span> breaking part of the quark loop diagram can be extracted by global fitting of branching fractions, which could help us understand the CP violation in charm sector. Additionally, some new isospin equations are proposed to test the Körner-Pati-Woo theorem.</div></div>","PeriodicalId":20162,"journal":{"name":"Physics Letters B","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0370269324005975","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
Charm baryon decay plays an important role in studying non-perturbative baryonic transitions. Compared to other hadron multiplets, the flavor symmetry of baryon decuplet is more simple and attractive. In this work, we study the topological amplitudes of charmed baryon decays into decuplet baryon in the flavor symmetry and the linear breaking. It is found most of topological diagrams are suppressed by the Körner-Pati-Woo theorem in the limit. Only two independent amplitudes contributing to the decays, with one dominating the branching fractions. The Lee-Yang parameters of all modes are the same in the limit, and there are only four possible values for the CP asymmetries. After including the first-order breaking effects, the and decays have non-zero branching fractions. The number of free parameter contributing to the decays in the linear breaking is smaller than the available data. The breaking part of the quark loop diagram can be extracted by global fitting of branching fractions, which could help us understand the CP violation in charm sector. Additionally, some new isospin equations are proposed to test the Körner-Pati-Woo theorem.
期刊介绍:
Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.