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.

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Cited by in corpus (6)

• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Electroweak, QCD and flavour physics studies with ATLAS data from Run 2 of the LHC
• Study of $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Study of angular observables in exclusive semileptonic $B_c$ decays
• The $b$ quark fragmentation fractions at LHCb and meson decays with heavy quark spectators