{"title":"Pc(4457) Interpreted as a JP = 1/2+ State by D¯0Λc+(2595) – π0Pc(4312)","authors":"Jin-Zi Wu, Jin-Yi Pang, Jia-Jun Wu","doi":"10.1088/0256-307x/41/9/091201","DOIUrl":null,"url":null,"abstract":"<italic toggle=\"yes\">P<sub>c</sub></italic>(4457) has been discovered over five years, but the parity of this particle remains undetermined. We propose a new interpretation for <italic toggle=\"yes\">P<sub>c</sub></italic>(4457), which is the state generated from the coupled-channel <inline-formula>\n<tex-math>\n<?CDATA ${\\bar{D}}^{0}{\\varLambda }_{c}^{+}(2595)$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mover accent=\"true\"><mml:mi>D</mml:mi><mml:mo stretchy=\"false\">¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2595</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn2.gif\"></inline-graphic></inline-formula> and <italic toggle=\"yes\">π</italic><sup>0</sup><italic toggle=\"yes\">P<sub>c</sub></italic>(4312) since they can exchange an almost on-shell <inline-formula>\n<tex-math>\n<?CDATA ${\\varSigma }_{c}^{+}$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Σ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn3.gif\"></inline-graphic></inline-formula>. In this scenario, the parity of <italic toggle=\"yes\">P<sub>c</sub></italic>(4457) will be positive, which is different from the candidate of the bound state of <inline-formula>\n<tex-math>\n<?CDATA ${\\bar{D}}^{* }{\\varSigma }_{c}$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mover accent=\"true\"><mml:mi>D</mml:mi><mml:mo stretchy=\"false\">¯</mml:mo></mml:mover><mml:mo>*</mml:mo></mml:msup><mml:msub><mml:mi>Σ</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn4.gif\"></inline-graphic></inline-formula>. The main decay channel of <italic toggle=\"yes\">P<sub>c</sub></italic>(4457) in this model is <italic toggle=\"yes\">P<sub>c</sub></italic>(4312)<italic toggle=\"yes\">π</italic>. We propose three processes <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{b}^{0}\\to J/\\psi {K}_{s}p{\\pi }^{-}$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>b</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:msub><mml:mi>K</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mi>p</mml:mi><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn5.gif\"></inline-graphic></inline-formula>, <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{b}^{0}\\to J/\\psi {K}^{-}p{\\pi }^{0}$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>b</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn6.gif\"></inline-graphic></inline-formula>, and <inline-formula>\n<tex-math>\n<?CDATA ${\\varLambda }_{b}^{0}\\to J/\\psi p{\\pi }^{-}{\\pi }^{+}{K}^{-}$?>\n</tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>Λ</mml:mi><mml:mi>b</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mi>p</mml:mi><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"cpl_41_9_091201_ieqn7.gif\"></inline-graphic></inline-formula> to verify <italic toggle=\"yes\">P<sub>c</sub></italic>(4457) → <italic toggle=\"yes\">P<sub>c</sub></italic>(4312)<italic toggle=\"yes\">π</italic>.","PeriodicalId":10344,"journal":{"name":"Chinese Physics Letters","volume":"45 1","pages":""},"PeriodicalIF":3.5000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/0256-307x/41/9/091201","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Pc(4457) has been discovered over five years, but the parity of this particle remains undetermined. We propose a new interpretation for Pc(4457), which is the state generated from the coupled-channel D¯0Λc+(2595) and π0Pc(4312) since they can exchange an almost on-shell Σc+. In this scenario, the parity of Pc(4457) will be positive, which is different from the candidate of the bound state of D¯*Σc. The main decay channel of Pc(4457) in this model is Pc(4312)π. We propose three processes Λb0→J/ψKspπ−, Λb0→J/ψK−pπ0, and Λb0→J/ψpπ−π+K− to verify Pc(4457) → Pc(4312)π.
期刊介绍：
Chinese Physics Letters provides rapid publication of short reports and important research in all fields of physics and is published by the Chinese Physical Society and hosted online by IOP Publishing.
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