Brenda B. Malabarba, K. P. Khemchandani, A. Martínez Torres, Seung-il Nam
{"title":"Strangeness +1 light multiquark baryons","authors":"Brenda B. Malabarba, K. P. Khemchandani, A. Martínez Torres, Seung-il Nam","doi":"10.1103/physrevd.111.016021","DOIUrl":null,"url":null,"abstract":"In view of the renewing experimental interest for searching strangeness +</a:mo>1</a:mn></a:math> baryons at J-PARC, we study the existence of light baryon resonances with strangeness <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mo>+</c:mo><c:mn>1</c:mn></c:mrow></c:math> generated in the <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mrow><e:mi>K</e:mi><e:mo>−</e:mo><e:mo stretchy=\"false\">(</e:mo><e:msup><e:mrow><e:mi>N</e:mi></e:mrow><e:mrow><e:mo>*</e:mo></e:mrow></e:msup><e:mo>/</e:mo><e:msup><e:mrow><e:mi mathvariant=\"normal\">Δ</e:mi></e:mrow><e:mrow><e:mo>*</e:mo></e:mrow></e:msup><e:mo stretchy=\"false\">)</e:mo></e:mrow></e:math> system, where <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msup><j:mi>N</j:mi><j:mo>*</j:mo></j:msup></j:math> represents either <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mrow><l:msup><l:mrow><l:mi>N</l:mi></l:mrow><l:mrow><l:mo>*</l:mo></l:mrow></l:msup><l:mo stretchy=\"false\">(</l:mo><l:mn>1535</l:mn><l:mo stretchy=\"false\">)</l:mo><l:mo>/</l:mo><l:msup><l:mrow><l:mi>N</l:mi></l:mrow><l:mrow><l:mo>*</l:mo></l:mrow></l:msup><l:mo stretchy=\"false\">(</l:mo><l:mn>1650</l:mn><l:mo stretchy=\"false\">)</l:mo><l:mo>/</l:mo><l:msup><l:mrow><l:mi>N</l:mi></l:mrow><l:mrow><l:mo>*</l:mo></l:mrow></l:msup><l:mo stretchy=\"false\">(</l:mo><l:mn>1700</l:mn><l:mo stretchy=\"false\">)</l:mo></l:mrow></l:math>, and <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:msup><t:mi mathvariant=\"normal\">Δ</t:mi><t:mo>*</t:mo></t:msup></t:math> corresponds to <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi mathvariant=\"normal\">Δ</w:mi><w:mo stretchy=\"false\">(</w:mo><w:mn>1620</w:mn><w:mo stretchy=\"false\">)</w:mo></w:math>. The description of the properties of the aforementioned states requires considering the dynamics involved in the coupled pseudoscalar-baryon (PB) and vector-baryon (VB) systems with strangeness <bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:mi>S</bb:mi><bb:mo>=</bb:mo><bb:mn>0</bb:mn></bb:math> in the <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mi>s</db:mi></db:math> wave. For the purpose of our current study, we consider the PB and VB channels to which the mentioned <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:msup><fb:mi>N</fb:mi><fb:mo>*</fb:mo></fb:msup></fb:math> and <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:msup><hb:mi mathvariant=\"normal\">Δ</hb:mi><hb:mo>*</hb:mo></hb:msup></hb:math> resonances couple and solve the Faddeev equations for the coupled channel system <kb:math xmlns:kb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><kb:mi>K</kb:mi></kb:math>-PB, <mb:math xmlns:mb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mb:mi>K</mb:mi></mb:math>-VB, with all interactions being in the <ob:math xmlns:ob=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ob:mi>s</ob:mi></ob:math> wave. Despite some strong attraction present in two of the subsystems, we do not find clear evidence supporting the formation of strangeness <qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:mrow><qb:mo>+</qb:mo><qb:mn>1</qb:mn></qb:mrow></qb:math> states, with spin-parity <sb:math xmlns:sb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sb:msup><sb:mi>J</sb:mi><sb:mi>P</sb:mi></sb:msup><sb:mo>=</sb:mo><sb:mn>1</sb:mn><sb:mo>/</sb:mo><sb:msup><sb:mn>2</sb:mn><sb:mo>+</sb:mo></sb:msup></sb:math>, in the energy region 2000–2200 MeV. However, the case of spin-parity <ub:math xmlns:ub=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ub:msup><ub:mi>J</ub:mi><ub:mi>P</ub:mi></ub:msup><ub:mo>=</ub:mo><ub:mn>3</ub:mn><ub:mo>/</ub:mo><ub:msup><ub:mn>2</ub:mn><ub:mo>+</ub:mo></ub:msup></ub:math> seems more promising, showing the formation of a resonance with a mass around 2167 MeV, with a width of 90–100 MeV. We suggest that a signal of such a state could be found in processes with final states like <wb:math xmlns:wb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><wb:mi>K</wb:mi><wb:mi>N</wb:mi></wb:math>, <yb:math xmlns:yb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><yb:msup><yb:mi>K</yb:mi><yb:mo>*</yb:mo></yb:msup><yb:mo stretchy=\"false\">(</yb:mo><yb:mn>892</yb:mn><yb:mo stretchy=\"false\">)</yb:mo><yb:mi>N</yb:mi></yb:math>. <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":"2025-01-21","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.111.016021","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
In view of the renewing experimental interest for searching strangeness +1 baryons at J-PARC, we study the existence of light baryon resonances with strangeness +1 generated in the K−(N*/Δ*) system, where N* represents either N*(1535)/N*(1650)/N*(1700), and Δ* corresponds to Δ(1620). The description of the properties of the aforementioned states requires considering the dynamics involved in the coupled pseudoscalar-baryon (PB) and vector-baryon (VB) systems with strangeness S=0 in the s wave. For the purpose of our current study, we consider the PB and VB channels to which the mentioned N* and Δ* resonances couple and solve the Faddeev equations for the coupled channel system K-PB, K-VB, with all interactions being in the s wave. Despite some strong attraction present in two of the subsystems, we do not find clear evidence supporting the formation of strangeness +1 states, with spin-parity JP=1/2+, in the energy region 2000–2200 MeV. However, the case of spin-parity JP=3/2+ seems more promising, showing the formation of a resonance with a mass around 2167 MeV, with a width of 90–100 MeV. We suggest that a signal of such a state could be found in processes with final states like KN, K*(892)N. Published by the American Physical Society2025
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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.
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