Study of charm and beauty mass spectra, semileptonic decays of $B_{(s,c)}$ and $B_c\to J/\psi ({\eta }_c)+P(V)$ in a phenomenological potential model

Abstract

Using a non-relativistic potential model, we obtain the mass spectra, leptonic decay constants, and parameters of the Isgur-Wise function for the beauty and charm mesons. With the calculated quantities, we investigate purely leptonic decays of $B^{+}$, $B^{\ast }$, $B_c^{+}$, semileptonic decay modes $B_{(s)}\to D_{(s)}l\nu$ and $B_c\to {\eta }_c\ell \bar{\nu }$ for three lepton channels $e,\mu ,\tau$, and obtain the corresponding branching fractions. ${\bar{B}}_{(s)}^{}\to D_{(s)}^{\ast }l\bar{\nu }$ transitions are also studied. Next, we apply the form factors for spin zero and spin one transitions of $B_c$ to calculate the nonleptonic branching ratios of $B_c\to J/\psi ({\eta }_c)+P(V)$, where $P$ and $V$ stand for the $D_q^{\ast -}$ vector meson and the $D_q$ pseudoscalar meson, respectively. Our results are found to be in agreement with those obtained in the experimental and theoretical results.