{"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(Ωc0→Ω−π+), recombined or kept as the following ratios: B(Ωc0→Ξ*0K¯*0)/B(Ωc0→Ω−ρ+)=0.28±0.11, B(Ωc0→Ξ−π+)/B(Ωc0→Ξ0K¯0)=0.10±0.02, and B(Ωc0→Ω−K+)/B(Ωc0→Ω−π+)=0.06±0.01. In particular, we present B(Ωc0→Ξ0π0)=(2.3±0.2)×10−4 as half the value of B(Ωc0→Ξ−π+) in the approximate isospin relation, and highlight potential candidates for testing SU(3)f symmetry breaking. Published by the American Physical Society2025
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