$B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach

Abstract

In the covariant light-front quark model, we investigate the $B_c\to h_c, \chi_{c0,1,2}$ form factors. The form factors are evaluated in space-like kinematic region and are recasted to the physical region by adopting the exponential parametrization. We also study the semileptonic $B_c$ decays and find that branching fractions for the $B_c\to (h_c,\chi_{c0,1,2})l\bar\nu (l=e,\mu)$ decays have the order $10^{-3}$ while branching fractions for $B_c\to (h_c,\chi_{c0,1,2})\tau\bar\nu_\tau$ are suppressed by one order. These predictions will be tested at the forthcoming hadron colliders.