Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry

Abstract

In this article, we study the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ by taking into account the chiral symmetry breaking effects, the final-state interactions and the heavy quark symmetry. We can confront the predictions of the ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ decay width and differential decay width with the experimental data in the future, and obtain powerful constraints on the chiral breaking effects and the final-state interactions, and test the heavy quark symmetry.

Comments: 8 pages, 3 figures, slight revision