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

Abstract

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, which dynamically generate the scalar meson $a_0(1710)$. Our results demonstrate that a clear peak structure emerges around 1.8~GeV in the ${\rho }^{+}\omega$~(${\rho }^{-}\omega$) invariant mass distribution of the strong decay, which can be associated with the $a_0(1710)$ resonance. Similarly, a distinct peak is predicted in the ${\rho }^0\omega$ invariant mass distribution of the radiative decay. Our results indicate that clear signals of $a_0(1710)$ production could be observed in future measurements of these processes at BESIII, Belle II, and the planned Super Tau-Charm Facility, thereby helping to determine its mass and width more precisely.

12 pages, 7 figures

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