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# 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

Dec 2022

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.

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