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.

arXiv comment12 pages,11 figures. arXiv admin note: text overlap with arXiv:1011.5961 by other authors

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Cited by in corpus (7)

• The excited bottom-charmed mesons in a nonrelativistic quark model
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Heavy $P$-wave quarkonium production via Higgs decays
• Excited heavy quarkonium production in Higgs boson decays
• Production of double heavy quarkonium at super $Z$ factory
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations