2014/08/31 by Qi-Li Liao, Guo-Ya Xie · 2 citations
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevd.90.054007
12 pages,11 figures. arXiv admin note: text overlap with arXiv:1011.5961 by other authors
arxiv created 2014/09/11 · arxiv updated 2014/09/12
The value of quarkonium wave function at the origin is an important quantity while studying many physical problems concerning a heavy quarkonium. This is because that it is widely used to evaluate the production and decay amplitudes of the heavy quarkonium within the effective filed theory framework, e.g., the non-relativistic QCD (NRQCD). In this paper, the value of the Schr\rm odinger radial wave function or its first nonvanishing derivative at zero quark-antiquark separation, i.e., |(|cc)[n]⟩-, |(|bc)[n]⟩-, and |(bb)[n]⟩-quarkonium, have been tabulated under five potential models with new parameters of the heavy quarkonium. Moreover, the production of the lower-level Fock states |(bQ)[1S]⟩ and |(bQ)[1P]⟩, together with the higher excited Fock states |(bQ)[nS]⟩ and |(bQ)[nP]⟩ (Q stands for c- or b-quark; n=2,⋯,6 ) through top quark decays have been studied with the new values of heavy quarkonium wave functions at the origin under the framework of NRQCD. At the LHC with the luminosity \cal L∝ 1034cm-2s-1 and the center-of-mass energy √(S)=14 TeV, sizable heavy quarkonium events can be produced through top quark decays, i.e., 4 ×105 Bc and B^*c, and 2 ×104 ηb and Υ events per year can be obtained according to our calculation.