{"title":"通过QCD总和规则明确P波的全轻矢量四夸克态* * 国家自然科学基金（12175068）和河北省教育厅研究生创新能力基金（CXZZBS2023146）资助","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":"{\"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}","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
摘要
在这项研究中，我们应用 QCD 和规则研究了二夸克和反夸克对之间具有明确 P 波的矢量全轻四夸克态。我们观察到，具有全奇异夸克的（或）型电流有可能耦合到质量为Ⅳ的四夸克态，这支持把质量为Ⅴ的二夸克-反夸克型四夸克态归入Ⅳ型四夸克态。结构为 （或 ）的矢量四夸克态和结构为 （或 ）的矢量四夸克态分别与 （或 ）和 （或 ）相一致，它们位于从 到 的区域。 具有明确 P 波的完全奇异矢量四夸克态的质量中心值大约为 （或 ）。同时还给出了对其他具有和不具有隐奇异结构的全轻矢量四夸克态的预测。
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)
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:
Particle physics;
Nuclear physics;
Particle and nuclear astrophysics;
Cosmology;
Accelerator physics.
The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication.
The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal.
The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
