Fully-light vector tetraquark states with explicit P-wave via QCD sum rules* * Supported by National Natural Science Foundation (12175068) and Postgraduate Students Innovative Capacity Foundation of Hebei Education Department (CXZZBS2023146)
{"title":"Fully-light vector tetraquark states with explicit P-wave via QCD sum rules* * Supported by National Natural Science Foundation (12175068) and Postgraduate Students Innovative Capacity Foundation of Hebei Education Department (CXZZBS2023146)","authors":"Qi Xin, Zhi-Gang Wang","doi":"10.1088/1674-1137/ad181c","DOIUrl":null,"url":null,"abstract":"In this study, we apply the QCD sum rules to investigate the vector fully-light tetraquark states with an explicit <italic toggle=\"yes\">P</italic>-wave between the diquark and antidiquark pairs. We observed that the <inline-formula>\n<tex-math><?CDATA $ C\\gamma_\\alpha\\otimes\\stackrel{\\leftrightarrow}{\\partial}_\\mu\\otimes\\gamma^\\alpha C $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M1.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> (or <inline-formula>\n<tex-math><?CDATA $ C\\gamma_\\alpha\\otimes\\stackrel{\\leftrightarrow}D_\\mu\\otimes\\gamma^\\alpha C $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>) type current with fully-strange quarks couples potentially to a tetraquark state with a mass <inline-formula>\n<tex-math><?CDATA $ 2.16 \\pm 0.14 \\,{\\rm{GeV}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M3.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, which supports assigning <inline-formula>\n<tex-math><?CDATA $ Y(2175)/\\phi(2170) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> as the diquark-antidiquark type tetraquark state with <inline-formula>\n<tex-math><?CDATA $J^{PC}=1^{--}$?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. The <inline-formula>\n<tex-math><?CDATA $ qs\\bar{q}\\bar{s} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ ss\\bar{s}\\bar{s} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> vector tetraquark states with the structure <inline-formula>\n<tex-math><?CDATA $ C\\gamma_\\mu\\otimes \\stackrel{\\leftrightarrow}{\\partial}_\\alpha \\otimes\\gamma^\\alpha C + C\\gamma^\\alpha \\otimes\\stackrel{\\leftrightarrow}{\\partial}_\\alpha \\otimes\\gamma_\\mu $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> (or <inline-formula>\n<tex-math><?CDATA $ C\\gamma_\\mu\\otimes \\stackrel{\\leftrightarrow}D_\\alpha \\otimes\\gamma^\\alpha C + C\\gamma^\\alpha \\otimes\\stackrel{\\leftrightarrow}D_\\alpha \\otimes\\gamma_\\mu $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>) are consistent with <inline-formula>\n<tex-math><?CDATA $ X(2200) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ X(2400) $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M11.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, respectively, which lie in the region from <inline-formula>\n<tex-math><?CDATA $ 2.20 $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M12.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> to <inline-formula>\n<tex-math><?CDATA $ 2.40\\,{\\rm{GeV}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M13.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. The central values of the masses of the fully-strange vector tetraquark states with an explicit <italic toggle=\"yes\">P</italic>-wave are approximately <inline-formula>\n<tex-math><?CDATA $ 2.16-3.13\\,{\\rm{GeV}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M14.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> (or <inline-formula>\n<tex-math><?CDATA $ 2.16-3.16\\,{\\rm{GeV}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_3_033104_M15.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>). Predictions for other fully-light vector tetraquark states with and without hidden-strange are also presented.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"26 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"中国物理C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1137/ad181c","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we apply the QCD sum rules to investigate the vector fully-light tetraquark states with an explicit P-wave between the diquark and antidiquark pairs. We observed that the (or ) type current with fully-strange quarks couples potentially to a tetraquark state with a mass , which supports assigning as the diquark-antidiquark type tetraquark state with . The and vector tetraquark states with the structure (or ) are consistent with and , respectively, which lie in the region from to . The central values of the masses of the fully-strange vector tetraquark states with an explicit P-wave are approximately (or ). Predictions for other fully-light vector tetraquark states with and without hidden-strange are also presented.
期刊介绍：
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of:
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