Ying Li, Wen-Tao Lyu, Guan-Ying Wang, Longke Li, Wen-Cheng Yan, En Wang
{"title":"Study of Ξc+→ΛK¯0π+ and search for the low-lying baryons Ξ(1/2−) and Σ(1/2−)","authors":"Ying Li, Wen-Tao Lyu, Guan-Ying Wang, Longke Li, Wen-Cheng Yan, En Wang","doi":"10.1103/physrevd.111.054011","DOIUrl":null,"url":null,"abstract":"Since searches for the low-lying excited baryons Ξ</a:mi>(</a:mo>1</a:mn>/</a:mo>2</a:mn>−</a:mo></a:msup>)</a:mo></a:math> and <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi mathvariant=\"normal\">Σ</f:mi><f:mo stretchy=\"false\">(</f:mo><f:mn>1</f:mn><f:mo>/</f:mo><f:msup><f:mn>2</f:mn><f:mo>−</f:mo></f:msup><f:mo stretchy=\"false\">)</f:mo></f:math> are crucial to deepening our understanding of the light baryon spectrum, we have investigated the Cabibbo-favored process <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:msubsup><k:mi mathvariant=\"normal\">Ξ</k:mi><k:mi>c</k:mi><k:mo>+</k:mo></k:msubsup><k:mo stretchy=\"false\">→</k:mo><k:mi mathvariant=\"normal\">Λ</k:mi><k:msup><k:mover accent=\"true\"><k:mi>K</k:mi><k:mo stretchy=\"false\">¯</k:mo></k:mover><k:mn>0</k:mn></k:msup><k:msup><k:mi>π</k:mi><k:mo>+</k:mo></k:msup></k:math> by taking into account the <r:math xmlns:r=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><r:mi>S</r:mi></r:math>-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach, which could dynamically generate the resonances <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mi mathvariant=\"normal\">Ξ</t:mi><t:mo stretchy=\"false\">(</t:mo><t:mn>1</t:mn><t:mo>/</t:mo><t:msup><t:mn>2</t:mn><t:mo>−</t:mo></t:msup><t:mo stretchy=\"false\">)</t:mo></t:math> and <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi mathvariant=\"normal\">Σ</y:mi><y:mo stretchy=\"false\">(</y:mo><y:mn>1</y:mn><y:mo>/</y:mo><y:msup><y:mn>2</y:mn><y:mo>−</y:mo></y:msup><y:mo stretchy=\"false\">)</y:mo></y:math>. The contributions from the excited kaons are double Cabibbo suppressed, and the contribution from the <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mi mathvariant=\"normal\">Σ</db:mi><db:mo stretchy=\"false\">(</db:mo><db:mn>1385</db:mn><db:mo stretchy=\"false\">)</db:mo></db:math> is also suppressed due to Korner-Pati-Woo theory; thus, those states are expected to play negligible contributions in this process. We have predicted the <ib:math xmlns:ib=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ib:msup><ib:mover accent=\"true\"><ib:mi>K</ib:mi><ib:mo stretchy=\"false\">¯</ib:mo></ib:mover><ib:mn>0</ib:mn></ib:msup><ib:mi mathvariant=\"normal\">Λ</ib:mi></ib:math> and <nb:math xmlns:nb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><nb:msup><nb:mi>π</nb:mi><nb:mo>+</nb:mo></nb:msup><nb:mi mathvariant=\"normal\">Λ</nb:mi></nb:math> invariant mass distributions, which have the clear signals of the <qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:mi mathvariant=\"normal\">Ξ</qb:mi><qb:mo stretchy=\"false\">(</qb:mo><qb:mn>1</qb:mn><qb:mo>/</qb:mo><qb:msup><qb:mn>2</qb:mn><qb:mo>−</qb:mo></qb:msup><qb:mo stretchy=\"false\">)</qb:mo></qb:math> and <vb:math xmlns:vb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><vb:mi mathvariant=\"normal\">Σ</vb:mi><vb:mo stretchy=\"false\">(</vb:mo><vb:mn>1</vb:mn><vb:mo>/</vb:mo><vb:msup><vb:mn>2</vb:mn><vb:mo>−</vb:mo></vb:msup><vb:mo stretchy=\"false\">)</vb:mo></vb:math>. Thus, the Ξ</ac:mi>c</ac:mi>+</ac:mo></ac:msubsup>→</ac:mo>Λ</ac:mi>K</ac:mi>¯</ac:mo></ac:mover>0</ac:mn></ac:msup>π</ac:mi>+</ac:mo></ac:msup></ac:math> is an ideal process to search for the low-lying baryons <hc:math xmlns:hc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hc:mi mathvariant=\"normal\">Ξ</hc:mi><hc:mo stretchy=\"false\">(</hc:mo><hc:mn>1</hc:mn><hc:mo>/</hc:mo><hc:msup><hc:mn>2</hc:mn><hc:mo>−</hc:mo></hc:msup><hc:mo stretchy=\"false\">)</hc:mo></hc:math> and <mc:math xmlns:mc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mc:mi mathvariant=\"normal\">Σ</mc:mi><mc:mo stretchy=\"false\">(</mc:mo><mc:mn>1</mc:mn><mc:mo>/</mc:mo><mc:msup><mc:mn>2</mc:mn><mc:mo>−</mc:mo></mc:msup><mc:mo stretchy=\"false\">)</mc:mo></mc:math>, and we make a call for a precise measurements of this process in experiments, such as Belle II, LHCb, and the proposed Super Tau-Charm Facility. <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":"59 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-12","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.111.054011","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
Since searches for the low-lying excited baryons Ξ(1/2−) and Σ(1/2−) are crucial to deepening our understanding of the light baryon spectrum, we have investigated the Cabibbo-favored process Ξc+→ΛK¯0π+ by taking into account the S-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach, which could dynamically generate the resonances Ξ(1/2−) and Σ(1/2−). The contributions from the excited kaons are double Cabibbo suppressed, and the contribution from the Σ(1385) is also suppressed due to Korner-Pati-Woo theory; thus, those states are expected to play negligible contributions in this process. We have predicted the K¯0Λ and π+Λ invariant mass distributions, which have the clear signals of the Ξ(1/2−) and Σ(1/2−). Thus, the Ξc+→ΛK¯0π+ is an ideal process to search for the low-lying baryons Ξ(1/2−) and Σ(1/2−), and we make a call for a precise measurements of this process in experiments, such as Belle II, LHCb, and the proposed Super Tau-Charm Facility. Published by the American Physical Society2025
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