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

european physical journal. a, hadrons and nuclei

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