The $B_c$-decays $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^{+}$, ${\eta }_c{\pi }^{+}{\pi }^{-}{\pi }^{+}$

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.

9 pages, 6 figures, slight revision

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Cited by in corpus (4)

• Production of charged $\pi$-mesons in exclusive $B_c\to V(P)+n\pi$ decays
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Excited $\rho$ mesons in $B_c\to {\psi }^{{(}^{\prime })}K{K}_S$ decays