The nonleptonic decays of $b$-flavored mesons to $S$-wave charmonium and charm meson states

Abstract

The detection of radially excited heavy meson \\states in recent years and measurement of heavy meson decays, particularly $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$, by the LHCb and ATLAS Collaborations, have aroused a lot of theoretical interest in the nonleptonic decays of $b$-flavored mesons. In this paper, we study the exclusive two-body nonleptonic ${\bar{B}}^0$, $\overline{B_s^0}$, $B^{-}$ and $B_c^{-}$-meson decays to two vector meson ($V_1(nS)V_2$) states. Assuming the factorization hypothesis, we calculate the weak-decay form factors from the overlapping integrals of meson wave functions, in the framework of the relativistic independent quark (RIQ) model. We find a few dominant decay modes: $B^{-}\to D^{\ast 0}{\rho }^{-}$, $\overline{B^0}\to D^{\ast +}{\rho }^{-}$, $\overline{B_s^0}\to D_s^{\ast +}{\rho }^{-}$, $B^{-}\to J/\psi K^{\ast -}$ and $B_c^{-}\to J/\psi D_s^{\ast -}$ with predicted branching fractions of 1.54, 1.42, 1.17, 0.53 and 0.52 (in $\%$), which are experimentally accessible. The predicted branching fractions for corresponding decay modes to excited ($2S$) states, obtained in the order $\mathcal{O}(10^{-3}-10^{-4})$ lie within the detection accuracy of the current experiments at LHCb and Tevatron. The sizeable $CP$-odd fractions predicted for $B_c^{-}$-meson decay to two charmful states: $D^{\ast 0}{D}_{(s)}^{\ast -}$ and ${\bar{D}}^{\ast 0}{D}_{(s)}^{\ast -}$ indicate significant $CP$-violation hinting at the so-called new physics beyond the standard model.

Comments: arXiv admin note: text overlap with arXiv:2202.01167