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

Abstract

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$\ddot{\mathrm{o}}$dinger radial wave function or its first nonvanishing derivative at zero quark-antiquark separation, i.e., $|(|c\bar{c})[n]⟩$-, $|(|b\bar{c})[n]⟩$-, and $|(b\bar{b})[n]⟩$-quarkonium, have been tabulated under five potential models with new parameters of the heavy quarkonium. Moreover, the production of the lower-level Fock states $|(b\bar{Q})[1S]⟩$ and $|(b\bar{Q})[1P]⟩$, together with the higher excited Fock states $|(b\bar{Q})[nS]⟩$ and $|(b\bar{Q})[nP]⟩$ ($Q$ stands for $c$- or $b$-quark; $n=2,\cdots ,6$) 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 $\mathcal{L}\propto 10^{34}c{m}^{-2}{s}^{-1}$ and the center-of-mass energy $\sqrt{S}=14$ TeV, sizable heavy quarkonium events can be produced through top quark decays, i.e., $4\times 10^5$ $B_c$ and $B_c^{\ast }$, and $2\times 10^4$ ${\eta }_b$ and ${\rm Y}$ events per year can be obtained according to our calculation.

12 pages,11 figures. arXiv admin note: text overlap with arXiv:1011.5961 by other authors

References in corpus (7)

• Heavy quarkonium: progress, puzzles, and opportunities
• An Upgraded Version of the Generator BCVEGPY2.0 for Hadronic Production of $B_c$ Meson and Its Excited States
• Production of $B_c$ or ${\bar{B}}_c$ meson and its excited states via $\bar{t}$-quark or $t$-quark decays
• $Z_0$ Boson Decays to $B_c^{(\ast )}$ Meson and Its Uncertainties
• Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ Boson Decays
• Uncertainties in Estimating the Indirect Production of $B_c$ and Its Excited States Via Top Quark Decays at CERN LHC
• Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays

Cited by in corpus (4)

• The excited bottom-charmed mesons in a nonrelativistic quark model
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Production of double heavy quarkonium at super $Z$ factory
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations