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 \(B^+\), \(B^{*}\), \(B_c^+\), semileptonic decay modes \({B_{(s)}} \rightarrow {D_{(s)}}l\nu \) and \({B_c} \rightarrow {\eta _c}\ell \bar{\nu }\) for three lepton channels \(e,\mu ,\tau \), and obtain the corresponding branching fractions. \(\bar{B}_{(s)}^{} \rightarrow D_{(s)}^*l\bar{\nu }\) 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 \({B_c} \rightarrow J/\psi ({\eta _c}) + P(V)\), 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 with those obtained in the experimental and theoretical results.
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Acknowledgements
This work is supported by the Natural Science Foundation of Changsha under Grant No. kq2208257 and the Natural Science Foundation of Hunan province under Grant No. 2023JJ30647.
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Rahmani, S., Luo, W.C. & Xiao, C.W. Study of charm and beauty mass spectra, semileptonic decays of \(B_{(s,c)}\) and \({B_c} \rightarrow J/\psi ({\eta _c}) + P(V)\) in a phenomenological potential model. Eur. Phys. J. A 59, 155 (2023). https://doi.org/10.1140/epja/s10050-023-01074-9
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DOI: https://doi.org/10.1140/epja/s10050-023-01074-9