$B_c$ 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.

Comments: 13 pages, 1 figure, published in Phys. Rev. D