{"title":"破译的结构 \\(\\eta _c(3945)\\)","authors":"Bing-Dong Wan","doi":"10.1140/epjp/s13360-025-06749-4","DOIUrl":null,"url":null,"abstract":"<div><p>Inspired by the charmonium(-like) state of <span>\\(\\eta _c(3945)\\)</span> reported by LHCb recently, we examine its tetraquark and molecular interpretations in the framework of QCD sum rules, and <span>\\(\\eta _c(nS)\\)</span> states interpretation in the Bethe-Salpeter formalism and <span>\\(^3P_0\\)</span> model. Results show that the masses of <span>\\(0^{-+}\\)</span> hidden-charm tetraquark and molecular are <span>\\((4.56\\pm 0.03)\\)</span> GeV and <span>\\((4.67\\pm 0.03)\\)</span> GeV, respectively, which do not fit well with the mass of the <span>\\(\\eta _c(3945)\\)</span>. On the other hand, the mass and decay width of <span>\\(\\eta _c(3S)\\)</span> state is 3.95 GeV and 65.28 MeV, respectively, which indicates that <span>\\(\\eta _c(3945)\\)</span> could be embedded into <span>\\(3 ^1S_0\\)</span> charmonium configuration.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 9","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Deciphering the structure of \\\\(\\\\eta _c(3945)\\\\)\",\"authors\":\"Bing-Dong Wan\",\"doi\":\"10.1140/epjp/s13360-025-06749-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Inspired by the charmonium(-like) state of <span>\\\\(\\\\eta _c(3945)\\\\)</span> reported by LHCb recently, we examine its tetraquark and molecular interpretations in the framework of QCD sum rules, and <span>\\\\(\\\\eta _c(nS)\\\\)</span> states interpretation in the Bethe-Salpeter formalism and <span>\\\\(^3P_0\\\\)</span> model. Results show that the masses of <span>\\\\(0^{-+}\\\\)</span> hidden-charm tetraquark and molecular are <span>\\\\((4.56\\\\pm 0.03)\\\\)</span> GeV and <span>\\\\((4.67\\\\pm 0.03)\\\\)</span> GeV, respectively, which do not fit well with the mass of the <span>\\\\(\\\\eta _c(3945)\\\\)</span>. On the other hand, the mass and decay width of <span>\\\\(\\\\eta _c(3S)\\\\)</span> state is 3.95 GeV and 65.28 MeV, respectively, which indicates that <span>\\\\(\\\\eta _c(3945)\\\\)</span> could be embedded into <span>\\\\(3 ^1S_0\\\\)</span> charmonium configuration.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 9\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06749-4\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06749-4","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Inspired by the charmonium(-like) state of \(\eta _c(3945)\) reported by LHCb recently, we examine its tetraquark and molecular interpretations in the framework of QCD sum rules, and \(\eta _c(nS)\) states interpretation in the Bethe-Salpeter formalism and \(^3P_0\) model. Results show that the masses of \(0^{-+}\) hidden-charm tetraquark and molecular are \((4.56\pm 0.03)\) GeV and \((4.67\pm 0.03)\) GeV, respectively, which do not fit well with the mass of the \(\eta _c(3945)\). On the other hand, the mass and decay width of \(\eta _c(3S)\) state is 3.95 GeV and 65.28 MeV, respectively, which indicates that \(\eta _c(3945)\) could be embedded into \(3 ^1S_0\) charmonium configuration.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.