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

TL;DR

This paper models the semileptonic decay of Bc mesons into S wave charmonium states using a QCD potential with Coulombic perturbation, calculating form factors and decay widths with results aligning well with existing theories.

Contribution

It introduces a novel approach using a QCD potential with Coulombic part as perturbation to study Bc meson decays and computes relevant form factors and decay widths.

Findings

Form factors for Bc to S wave charmonium transitions calculated.

Decay widths for Bc to J/psi and eta_c channels estimated.

Results agree with other theoretical predictions.

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 $B_{c}\rightarrow J/\psi(\eta_{c})l\nu_{l}$ are presented. The results are found to be in good agreement with other theoretical values.