Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC

作者：Liao Qi Li^*; Xie Guo Ya

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014, 90(5): 054007.

DOI：10.1103/PhysRevD.90.054007

The value of the quarkonium wave function at the origin is an important quantity for studying many physical problems concerning a heavy quarkonium. This is because it is widely used to evaluate the production and decay amplitudes of the heavy quarkonium within the effective field theory framework, e.g., the nonrelativistic QCD (NRQCD). In this paper, the values of the Schrodinger radial wave function or its first nonvanishing derivative at zero quark-antiquark separation, i.e., vertical bar(vertical bar c (c) over bar)[n]>, vertical bar(vertical bar b (c) over bar)[n]>, and vertical bar(b (b) over bar)[n]> quarkonium, have been tabulated under five potential models with new parameters for the heavy quarkonium. Moreover, the production of the lower-level Fock states vertical bar(b (Q) over bar)[1S]> and vertical bar(b (Q) over bar)[1P]>, together with the higher excited Fock states vertical bar(b (Q) over tilde)[nS]> and vertical bar(b (Q) over bar)[nP]> (Q stands for the c or b quark; n = 2,...6) through top quark decays has 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 L proportional to 10(34) cm(-2) s(-1) and the center-of-mass energy root S = 14 TeV, sizable heavy quarkonium events can be produced through top quark decays, i.e., 4 x 10(5) B-c and B-c*, and 2 x 10(4) eta(b), and Upsilon events per year can be obtained according to our calculation.

• 出版日期2014-9-8
• 单位重庆邮电大学