The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions

Abstract

Motivated by the recent LHCb Collaboration analysis, we have investigated the process $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ by considering the contributions from the resonances $Y(4710)$ and $K_0^{\ast }(1430)$. Our results are in good agreement with the measured invariant mass distributions and the Dalitz plot of LHCb, which supports the existence of the $K_0^{\ast }(1430)$ and the $Y(4710)$ in the process $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$. Since the decay mode of $Y(4710)\to J/\psi {\eta }^{\prime }$ is Okubo-Zweig-Iizuka (OZI) suppressed for the charmonium state, the measurements of the $\mathcal{B}(Y(4710)\to J/\psi {\eta }^{\prime })$ through the process $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ or other processes is helpful to understanding the nature of the $Y(4710)$. Thus, we advocate that Belle~II and LHCb Collaborations could perform the more precise analysis to confirm the evidence of the $Y(4710)$ state, which could be helpful to reduce the experimental uncertainties of its mass and width, and to explore its nature.

Comments: 8 pages, 6 figures