Study of B c →J/ψ π, η c π decays with perturbative QCD approach

Junfeng Sun; Dongsheng Du; Yueling Yang

doi:10.1140/epjc/s10052-009-0872-y

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Particles and Fields

Eur. Phys. J. C (2009) 60: 107-117
https://doi.org/10.1140/epjc/s10052-009-0872-y

Regular Article - Theoretical Physics

Study of B _c→J/ψ π, η _c π decays with perturbative QCD approach

Junfeng Sun¹^,2^*, Dongsheng Du³ and Yueling Yang¹

¹ College of Physics and Information Engineering, Henan Normal University, Xinxiang, 453007, China
² Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, P.O. Box 918(4), Beijing, 100049, China
³ Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918(4), Beijing, 100049, China

^* e-mail: xxsunjf@yahoo.com.cn

Received: 20 November 2008
Revised: 17 December 2008
Published online: 7 February 2009

Abstract

The B _c→J/ψ π, η _c π decays are studied with the perturbative QCD approach. It is found that the form factors $A_{0,1,2}^{B_{c}\to J/{\psi}}$ and $F_{0}^{B_{c}\to{\eta}_{c}}$ for the B _c→J/ψ, η _c transitions and the branching ratios are sensitive to the parameters ω, v, f _J/ψ and $f_{{\eta}_{c}}$ , where ω and v are the parameters of the charmonium wave functions for a Coulomb potential and the harmonic-oscillator potential, respectively, and f _J/ψ and $f_{{\eta}_{c}}$ are the decay constants of the J/ψ and η _c mesons, respectively. The large branching ratios and the clear signals of the final states make the B _c→J/ψ π, η _c π decays the prospective channels for measurements at the hadron colliders.