Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions

Wen-Tao Lyu, Luis Roca, Eulogio Oset

We investigate the strong decay $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and the radiative decay $J/\psi \to \gamma {\rho }^0\omega$, taking into account the $S$-wave $K^{\ast }{\bar{K}}^{\ast }$, $\rho \omega$ and $\rho \varphi$ final-state interactions, whic…