Semileptonic decay of Bc meson into S wave charmonium in a QCD potential model with coulombic part as perturbation

Abstract

We present the semileptonic decay of $B_c$ meson in a QCD potential model with the coulombic part of the Cornell potential $-\frac{4{\alpha }_S}{3r}+br+c$ as perturbation. Computing the slope and curvature of Isgur Wise function in this approach, we study the pseudoscalar and vector form factors for the transition of $B_c$ meson to its S wave charmonium $c\bar{c}$ states. Numerical estimates of widths for the transitions of $B_c\to J/\psi ({\eta }_c)l{\nu }_l$ are presented. The results are found to be in good agreement with other theoretical values.

Comments: 15 pages, 4 tables