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Chang ChaoHsi; Wang GuoLi; Chang, CH , Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
Spectrum for heavy quarkonia and mixture of the relevant wave functions within the framework of Bethe-Salpeter equation
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
KeywordDecay Constants Mesons Model Charmonium
AbstractConsidering the fact that some excited states of the heavy quarkonia (charmonium and bottomonium) are still missing in experimental observations and potential applications of the relevant wave functions of the bound states, we re-analyze the spectrum and the relevant wave functions of the heavy quarkonia within the framework of Bethe-Salpeter (B.S.) equation with a proper QCD-inspired kernel. Such a kernel for the heavy quarkonia, relating to potential of the non-relativistic quark model, is instantaneous, so we call the corresponding B.S. equation as BS-In equation throughout the paper. Particularly, a new way to solve the B.S. equation, which is different from the traditional ones, is proposed here, and with it not only the known spectrum for the heavy quarkonia is re-generated, but also an important issue is brought in, i.e., the obtained solutions of the equation 'automatically' include the 'fine', 'hyperfine' splittings and the wave function mixture, such as S-D wave mixing in J (PC) = 1(--) states, P-F wave mixing in J (PC) = 2(++) states for charmonium, bottomonium etc. It is pointed out that the best place to test the wave mixture probably is at Z-factory (e (+) e (-) collider running at Z-boson pole with extremely high luminosity).
2010
ISSN1674-7348
Volume53Issue:11Pages:2005-2018
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China[10847001, 10875155, 10675038, 10875032]; Chinese Academy of Sciences[KJCX2.YW.W10] ; National Natural Science Foundation of China[10847001, 10875155, 10675038, 10875032]; Chinese Academy of Sciences[KJCX2.YW.W10] ; National Natural Science Foundation of China[10847001, 10875155, 10675038, 10875032]; Chinese Academy of Sciences[KJCX2.YW.W10] ; National Natural Science Foundation of China[10847001, 10875155, 10675038, 10875032]; Chinese Academy of Sciences[KJCX2.YW.W10]
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Cited Times:26[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5017
Collection理论物理所科研产出_SCI论文
Corresponding AuthorChang, CH , Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
Recommended Citation
GB/T 7714
Chang ChaoHsi,Wang GuoLi,Chang, CH , Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China. Spectrum for heavy quarkonia and mixture of the relevant wave functions within the framework of Bethe-Salpeter equation[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2010,53(11):2005-2018.
APA Chang ChaoHsi,Wang GuoLi,&Chang, CH , Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China.(2010).Spectrum for heavy quarkonia and mixture of the relevant wave functions within the framework of Bethe-Salpeter equation.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,53(11),2005-2018.
MLA Chang ChaoHsi,et al."Spectrum for heavy quarkonia and mixture of the relevant wave functions within the framework of Bethe-Salpeter equation".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 53.11(2010):2005-2018.
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