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

Abstract

Abstract The detection of radially excited charmonium and charm meson states, and measurement of heavy meson decays, particularly $$B_c^+\rightarrow J/\psi D_s^+$$ B c + → J / ψ D s + and $$B_c^+\rightarrow J/\psi D_s^{*+}$$ B c + → J / ψ D s ∗ + , 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 $${\bar{B}}^0$$ B ¯ 0 , $$\bar{B_s^0}$$ B s 0 ¯ , $$B^-$$ B - and $$B_c^-$$ B c - -meson decays to two vector meson ( $$V_1(nS)V_2$$ V 1 ( n S ) 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: $$B^-\rightarrow D^{*0}\rho ^-$$ B - → D ∗ 0 ρ - , $$\bar{B^0}\rightarrow D^{*+}\rho ^-$$ B 0 ¯ → D ∗ + ρ - , $$\bar{B_s^0}\rightarrow D_s^{*+}\rho ^-$$ B s 0 ¯ → D s ∗ + ρ - , $$B^-\rightarrow J/\psi K^{*-}$$ B - → J / ψ K ∗ - and $$B_c^-\rightarrow J/\psi D_s^{*-}$$ B c - → J / ψ D s ∗ - with predicted branching fractions of 1.52, 1.40, 1.16, 0.46 and 0.27 (in $$\%$$ % ), which are experimentally accessible. The predicted branching fractions for corresponding decay modes to excited (2S) states, obtained in $${{\mathscr {O}} }(10^{-3}-10^{-4})$$ O ( 10 - 3 - 10 - 4 ) lie within the detection accuracy of the current experiments at LHCb and Tevatron. Our predicted CP-odd fractions ( $$R_\perp $$ R ⊥ ) for color-favored $$B_c$$ B c -decays to two charmful states ( $$D^*D^*_{(s)}$$ D ∗ D ( s ) ∗ ) are found significant as compared to similar decay modes of other b-flavored mesons.