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

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.Comment: 13 pages, 4 tables, 4 figures,Accepted to Int.J.Mod.Phys.