Semileptonic decay of $B_c$ meson into $c\bar c$ states in a QCD potential model

TL;DR

This paper calculates the Isgur-Wise function's slope and curvature for the $B_c$ meson using a QCD potential model and applies heavy quark effective theory to estimate semileptonic decay rates into charmonium states.

Contribution

It introduces a novel calculation of the Isgur-Wise function's parameters within a QCD potential framework for the $B_c$ meson and explores decay rates using heavy quark symmetry.

Findings

Computed slope and curvature of Isgur-Wise function for $B_c$

Estimated semileptonic decay rates into $ ext{eta}_c$ and $J/ ext{ extpsi}$

Analyzed effects of spin symmetry breaking

Abstract

The slope and curvature of Isgur Wise function for $B_{c}$ meson is computed in a QCD potential model in two different approaches of choosing the perturbative term of the Cornell potential. Based on heavy quark effective theory the exclusive semileptonic decay rates of $B_c$ meson into the $c\bar c\ (\eta_c,J/\psi)$ states are exploited. Spin symmetry breaking effects are ignored upto a particular point and the form factors are connected with Isgur-Wise function for other kinematic point since the recoil momentum of $c\bar c$ from $B_{c}$ is small due to its heavy mass.