Abstract
The leptonic and semileptonic decay properties of \(B_{c}\) meson are studied in a QCD potential model. The CKM element for the leptonic decay is calculated by evaluating its decay constant. With the help of the Isgur–Wise function, the form factors and the CKM element for semileptonic decay are also calculated. The variation in four-momentum square in the two decays demands two different scales of the strong coupling constant \(\alpha _{s}\). Thus, a two-scale picture is evident from the study. We compute the decay constant \(f_{p}\) for leptonic decay and form factors for semileptonic decay with two different \(\Lambda\) scales in a specific prescription where it is related to the strong coupling \(\alpha _{s}\). Within the potential model, we find the scale for leptonic decay is \(\Lambda \leqslant 0.150\) GeV and for semileptonic decay is \(\Lambda \geqslant 0.410\) GeV.
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Pathak, K.K., Bhattacharya, S. & Das, T. Weak decays of \(B_{c}\) meson in a QCD potential model. Indian J Phys 97, 3685–3689 (2023). https://doi.org/10.1007/s12648-023-02716-w
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DOI: https://doi.org/10.1007/s12648-023-02716-w