Exclusive nonleptonic Bc-meson decays to S-wave charmonium states

Abstract

We study the exclusive two-body nonleptonic $B_c\to X_{c\bar{c}}M$ decays, where $X_{c\bar{c}}$ is either a ground(1S) or a radially excited (2S or 3S) charmonium and $M$ is a pseudoscalar $(P)$ or a vector $(V)$ meson. We consider here three categories of decays: $B_c\to PP,PV,VP$ decays within the framework of relativistic independent quark(RIQ) model based on a flavor-independent interaction potential in scalar-vector harmonic form. Using the factorization approximation, we calculate the weak form factors from the overlapping integrals of meson wave functions obtained in the RIQ model and predict the branching fractions for a set of exclusive nonleptonic $B_c$-decays in reasonable agreement with other model predictions. Some of the decays of interest are found to have branching fractions $\sim (10^{-3}-10^{-4})$ within the detection ability of the current experiments and can be precisely measured at LHCb in near future. In the wake of the recent measurement of $B_c\to J/\psi \pi (K)$, $B_c\to J/\psi \pi (D_s)$, $B_c\to \pi (J/\psi ,\psi (2S))$ and $B_c\to J/\psi (\pi ,\mu \nu )$ reported by the LHCb Collaborations, we predict the ratios: ${\mathcal{R}}_{K/\pi }$, ${\mathcal{R}}_{D_s/\pi }$ and ${\mathcal{R}}_{\psi (2S)/J/\psi }$ in broad agreement with the LHCb data though our predicted ratio ${\mathcal{R}}_{\pi /\mu \nu }$ is found to be underestimated. The results indicate that the present approach works well in the description of exclusive nonleptonic $B_c$-decays within the framework of the RIQ model.

References in corpus (15)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from QCD sum rules
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• Bc Meson Formfactors and Bc-->PV Decays Involving Flavor Dependence of Transverse Quark Momentum
• Study of Bc -> BP,BV Decays with QCD Factorization
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Measurement of the ratio of $B_c^{+}$ branching fractions to $J/\psi {\pi }^{+}$ and $J/\psi {\mu }^{+}{\nu }_{\mu }$
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• Study of $B_c$ decays into charmonia and $D$ mesons
• Decays of bottom mesons emitting pseudoscalar and tensor mesons in ISGW II model
• Magnetic Dipole Transitions of $B_c$ and $B_c^{\ast }$ mesons in the Relativistic Independent Quark Model
• Lepton mass effects in exclusive semileptonic $B_c$-meson decays
• Radially Excited States of ${\eta }_c$