The $B_c$-decays $B_c^+ \to J/\psi \pi^+\pi^-\pi^+$, $\eta_c \pi^+\pi^-\pi^+ $

TL;DR

This paper analyzes specific three-pion decay modes of the Bc+ meson, focusing on intermediate meson dominance, and predicts branching fractions and decay distributions to compare with current and future experimental data.

Contribution

It provides theoretical predictions for Bc+ decay branching fractions and decay distributions involving intermediate mesons, aiding future experimental validation.

Findings

Predicted decay branching fractions are consistent with existing data.

Identified dominant intermediate mesons in decay processes.

Provided differential decay width distributions for future comparison.

Abstract

In this article, we study the three-pion $B_c$-decays $B_c^+ \to J/\psi\, \pi^+\pi^-\pi^+$, $\eta_c\, \pi^+\pi^-\pi^+ $ with dominance of the intermediate axial-vector meson $a_1(1260)$ and vector meson $\rho(770)$ in the $\pi^+\pi^-\pi^+$ and $\pi^+\pi^-$ invariant mass distributions respectively, and make predictions for the branching fractions and differential decay widths. The ratio between the decays $B_c^+ \to J/\psi\, \pi^+\pi^-\pi^+$ and $B_c^+ \to J/\psi\, \pi^+ $ is compatible with the experimental data within uncertainties, other predictions can be confronted with the experimental data in the future at the LHCb.