Light hadron production in $B_c\to J/\psi +X$ decays

Abstract

Decays of ground state $B_c$-meson $B_c\to J/\psi +n\pi$ are considered. Using existing parametrizations for $B_c\to J/\psi$ form-factors and $W^{\ast }\to n\pi$ spectral functions we calculate branching fractions and transferred momentum distributions of $B_c\to J/\psi +n\pi$ decays for $n=1,2,3,4$. Inclusive decays $B_c\to J/\psi +\bar{u}d$ and polarization asymmetries of final charmonium are also investigated. Presented in our article results can be used to study form-factors of $B_c\to J/\psi$ transitions, $\pi$-meson system spectral functions and give the opportunity to check the factorization theorem.

Comments: minor changes, published in Phys.Rev. D