Topological SU(3)f approach for two-body Ωc weak decays

IF 5 2区 物理与天体物理 Q1 Physics and Astronomy
Y. L. Wang, H. J. Zhao, Y. K. Hsiao
{"title":"Topological SU(3)f approach for two-body Ωc weak decays","authors":"Y. L. Wang, H. J. Zhao, Y. K. Hsiao","doi":"10.1103/physrevd.111.016022","DOIUrl":null,"url":null,"abstract":"We explore the two-body nonleptonic weak decays of Ω</a:mi>c</a:mi>0</a:mn></a:msubsup></a:math> into final states <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:msup><d:mi mathvariant=\"bold\">B</d:mi><d:mrow><d:mo stretchy=\"false\">(</d:mo><d:mo>*</d:mo><d:mo stretchy=\"false\">)</d:mo></d:mrow></d:msup><d:mi>M</d:mi></d:math> and <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi mathvariant=\"bold\">B</i:mi><i:mrow><i:mo stretchy=\"false\">(</i:mo><i:mo>*</i:mo><i:mo stretchy=\"false\">)</i:mo></i:mrow></i:msup><i:mi>V</i:mi></i:math>, where <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:msup><n:mi mathvariant=\"bold\">B</n:mi><n:mrow><n:mo stretchy=\"false\">(</n:mo><n:mo>*</n:mo><n:mo stretchy=\"false\">)</n:mo></n:mrow></n:msup></n:math> denotes an octet (a decuplet) baryon and <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>M</s:mi><s:mo stretchy=\"false\">(</s:mo><s:mi>V</s:mi><s:mo stretchy=\"false\">)</s:mo></s:math> represents a pseudoscalar (vector) meson. We employ the topological <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>S</w:mi><w:mi>U</w:mi><w:mo stretchy=\"false\">(</w:mo><w:mn>3</w:mn><w:msub><w:mo stretchy=\"false\">)</w:mo><w:mi>f</w:mi></w:msub></w:math> approach to depict and parametrize the W</ab:mi></ab:math>-emission and <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:mi>W</cb:mi></cb:math>-exchange processes. We find that the topological parameters can be associated and combined, making them extractable for calculation. Consequently, we explain the partially measured branching fractions relative to <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:mi mathvariant=\"script\">B</eb:mi><eb:mo stretchy=\"false\">(</eb:mo><eb:msubsup><eb:mi mathvariant=\"normal\">Ω</eb:mi><eb:mi>c</eb:mi><eb:mn>0</eb:mn></eb:msubsup><eb:mo stretchy=\"false\">→</eb:mo><eb:msup><eb:mi mathvariant=\"normal\">Ω</eb:mi><eb:mo>−</eb:mo></eb:msup><eb:msup><eb:mi>π</eb:mi><eb:mo>+</eb:mo></eb:msup><eb:mo stretchy=\"false\">)</eb:mo></eb:math>, recombined or kept as the following ratios: <mb:math xmlns:mb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mb:mi mathvariant=\"script\">B</mb:mi><mb:mo stretchy=\"false\">(</mb:mo><mb:msubsup><mb:mi mathvariant=\"normal\">Ω</mb:mi><mb:mi>c</mb:mi><mb:mn>0</mb:mn></mb:msubsup><mb:mo stretchy=\"false\">→</mb:mo><mb:msup><mb:mi mathvariant=\"normal\">Ξ</mb:mi><mb:mrow><mb:mo>*</mb:mo><mb:mn>0</mb:mn></mb:mrow></mb:msup><mb:msup><mb:mover accent=\"true\"><mb:mi>K</mb:mi><mb:mo stretchy=\"false\">¯</mb:mo></mb:mover><mb:mrow><mb:mo>*</mb:mo><mb:mn>0</mb:mn></mb:mrow></mb:msup><mb:mo stretchy=\"false\">)</mb:mo><mb:mo>/</mb:mo><mb:mi mathvariant=\"script\">B</mb:mi><mb:mo stretchy=\"false\">(</mb:mo><mb:msubsup><mb:mi mathvariant=\"normal\">Ω</mb:mi><mb:mi>c</mb:mi><mb:mn>0</mb:mn></mb:msubsup><mb:mo stretchy=\"false\">→</mb:mo><mb:msup><mb:mi mathvariant=\"normal\">Ω</mb:mi><mb:mo>−</mb:mo></mb:msup><mb:msup><mb:mi>ρ</mb:mi><mb:mo>+</mb:mo></mb:msup><mb:mo stretchy=\"false\">)</mb:mo><mb:mo>=</mb:mo><mb:mspace linebreak=\"goodbreak\"/><mb:mn>0.28</mb:mn><mb:mo>±</mb:mo><mb:mn>0.11</mb:mn></mb:math>, <dc:math xmlns:dc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><dc:mi mathvariant=\"script\">B</dc:mi><dc:mo stretchy=\"false\">(</dc:mo><dc:msubsup><dc:mi mathvariant=\"normal\">Ω</dc:mi><dc:mi>c</dc:mi><dc:mn>0</dc:mn></dc:msubsup><dc:mo stretchy=\"false\">→</dc:mo><dc:msup><dc:mi mathvariant=\"normal\">Ξ</dc:mi><dc:mo>−</dc:mo></dc:msup><dc:msup><dc:mi>π</dc:mi><dc:mo>+</dc:mo></dc:msup><dc:mo stretchy=\"false\">)</dc:mo><dc:mo>/</dc:mo><dc:mi mathvariant=\"script\">B</dc:mi><dc:mo stretchy=\"false\">(</dc:mo><dc:msubsup><dc:mi mathvariant=\"normal\">Ω</dc:mi><dc:mi>c</dc:mi><dc:mn>0</dc:mn></dc:msubsup><dc:mo stretchy=\"false\">→</dc:mo><dc:msup><dc:mi mathvariant=\"normal\">Ξ</dc:mi><dc:mn>0</dc:mn></dc:msup><dc:msup><dc:mover accent=\"true\"><dc:mi>K</dc:mi><dc:mo stretchy=\"false\">¯</dc:mo></dc:mover><dc:mn>0</dc:mn></dc:msup><dc:mo stretchy=\"false\">)</dc:mo><dc:mo>=</dc:mo><dc:mn>0.10</dc:mn><dc:mo>±</dc:mo><dc:mn>0.02</dc:mn></dc:math>, and <tc:math xmlns:tc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><tc:mi mathvariant=\"script\">B</tc:mi><tc:mo stretchy=\"false\">(</tc:mo><tc:msubsup><tc:mi mathvariant=\"normal\">Ω</tc:mi><tc:mi>c</tc:mi><tc:mn>0</tc:mn></tc:msubsup><tc:mo stretchy=\"false\">→</tc:mo><tc:msup><tc:mi mathvariant=\"normal\">Ω</tc:mi><tc:mo>−</tc:mo></tc:msup><tc:msup><tc:mi>K</tc:mi><tc:mo>+</tc:mo></tc:msup><tc:mo stretchy=\"false\">)</tc:mo><tc:mo>/</tc:mo><tc:mi mathvariant=\"script\">B</tc:mi><tc:mo stretchy=\"false\">(</tc:mo><tc:msubsup><tc:mi mathvariant=\"normal\">Ω</tc:mi><tc:mi>c</tc:mi><tc:mn>0</tc:mn></tc:msubsup><tc:mo stretchy=\"false\">→</tc:mo><tc:msup><tc:mi mathvariant=\"normal\">Ω</tc:mi><tc:mo>−</tc:mo></tc:msup><tc:msup><tc:mi>π</tc:mi><tc:mo>+</tc:mo></tc:msup><tc:mo stretchy=\"false\">)</tc:mo><tc:mo>=</tc:mo><tc:mspace linebreak=\"goodbreak\"/><tc:mn>0.06</tc:mn><tc:mo>±</tc:mo><tc:mn>0.01</tc:mn></tc:math>. In particular, we present <id:math xmlns: display=\"inline\"><id:mi mathvariant=\"script\">B</id:mi><id:mo stretchy=\"false\">(</id:mo><id:msubsup><id:mi mathvariant=\"normal\">Ω</id:mi><id:mi>c</id:mi><id:mn>0</id:mn></id:msubsup><id:mo stretchy=\"false\">→</id:mo><id:msup><id:mi mathvariant=\"normal\">Ξ</id:mi><id:mn>0</id:mn></id:msup><id:msup><id:mi>π</id:mi><id:mn>0</id:mn></id:msup><id:mo stretchy=\"false\">)</id:mo><id:mo>=</id:mo><id:mo stretchy=\"false\">(</id:mo><id:mn>2.3</id:mn><id:mo>±</id:mo><id:mn>0.2</id:mn><id:mo stretchy=\"false\">)</id:mo><id:mo>×</id:mo><id:msup><id:mn>10</id:mn><id:mrow><id:mo>−</id:mo><id:mn>4</id:mn></id:mrow></id:msup></id:math> as half the value of <sd:math xmlns:sd=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sd:mi mathvariant=\"script\">B</sd:mi><sd:mo stretchy=\"false\">(</sd:mo><sd:msubsup><sd:mi mathvariant=\"normal\">Ω</sd:mi><sd:mi>c</sd:mi><sd:mn>0</sd:mn></sd:msubsup><sd:mo stretchy=\"false\">→</sd:mo><sd:msup><sd:mi mathvariant=\"normal\">Ξ</sd:mi><sd:mo>−</sd:mo></sd:msup><sd:msup><sd:mi>π</sd:mi><sd:mo>+</sd:mo></sd:msup><sd:mo stretchy=\"false\">)</sd:mo></sd:math> in the approximate isospin relation, and highlight potential candidates for testing S</ae:mi>U</ae:mi>(</ae:mo>3</ae:mn>)</ae:mo>f</ae:mi></ae:msub></ae:math> symmetry breaking. <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":"3 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-01-22","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.111.016022","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

We explore the two-body nonleptonic weak decays of Ωc0 into final states B(*)M and B(*)V, where B(*) denotes an octet (a decuplet) baryon and M(V) represents a pseudoscalar (vector) meson. We employ the topological SU(3)f approach to depict and parametrize the W-emission and W-exchange processes. We find that the topological parameters can be associated and combined, making them extractable for calculation. Consequently, we explain the partially measured branching fractions relative to B(Ωc0Ωπ+), recombined or kept as the following ratios: B(Ωc0Ξ*0K¯*0)/B(Ωc0Ωρ+)=0.28±0.11, B(Ωc0Ξπ+)/B(Ωc0Ξ0K¯0)=0.10±0.02, and B(Ωc0ΩK+)/B(Ωc0Ωπ+)=0.06±0.01. In particular, we present B(Ωc0Ξ0π0)=(2.3±0.2)×104 as half the value of B(Ωc0Ξπ+) in the approximate isospin relation, and highlight potential candidates for testing SU(3)f symmetry breaking. Published by the American Physical Society 2025
两体Ωc弱衰变的拓扑SU(3)f方法
我们研究了Ωc0的两体非轻子弱衰变到最终态B(*)M和B(*)V,其中B(*)表示八重体(十重体)重子,M(V)表示伪标量(矢量)介子。我们采用拓扑SU(3)f方法来描述和参数化w发射和w交换过程。我们发现拓扑参数可以被关联和组合,使得它们可以被提取用于计算。因此,我们解释了部分测量分支分数相对于B(Ωc0→Ω−π+),重组或保持以下比率:B(Ωc0→Ξ* 0 K¯* 0)/ B(Ωc0→Ω−ρ+)= 0.28±0.11 B(Ωc0→Ξ−π+)/ B(Ωc0→Ξ0 K¯0)= 0.10±0.02,和B(Ωc0→Ω−K +) / B(Ωc0→Ω−π+)= 0.06±0.01。特别地,我们提出B(Ωc0→Ξ0π0)=(2.3±0.2)×10−4为近似同位旋关系中B(Ωc0→Ξ−π+)值的一半,并突出了用于测试SU(3)f对称性破缺的潜在候选者。2025年由美国物理学会出版
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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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