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

TL;DR

This paper calculates decay rates and distributions for $B_c$ meson decays into $J/$ and multiple pions, providing data useful for testing form-factors, spectral functions, and the factorization theorem.

Contribution

It offers new calculations of branching fractions and momentum distributions for $B_c o J/ + n\, ext{pions}$ decays using existing form-factor parametrizations and spectral functions.

Findings

Calculated branching fractions for $B_c$ decays with up to 4 pions.

Provided momentum transfer distributions for these decays.

Analyzed polarization asymmetries of the final charmonium.

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 $W^{*}\to n\pi$ 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.