Study of the ${\eta }^{\mathrm{\prime }}$ $\to$ $V{e}^{+}{e}^{-}$ decay with hidden local symmetry model

Within the hidden local symmetry framework, the Dalitz decay ${\eta }^{\mathrm{\prime }}$ $\to$ $V{e}^{+}{e}^{-}$ is studied with the vector meson dominance model. It is found that the partial width $\mathrm{\Gamma }({\eta }^{\mathrm{\prime }}\to \omega e^{+}{e}^{-})$ $\approx$ $40$ eV and branching ratio $\mathcal{B}({\eta }^{\mathrm{\prime }}\to \omega e^{+}{e}^{-})$ $\approx$ $2\times {10}^{-4}$, and $\mathrm{\Gamma }({\eta }^{\mathrm{\prime }}\to \rho e^{+}{e}^{-})$ $\approx$ $10\mathrm{\Gamma }({\eta }^{\mathrm{\prime }}\to \omega e^{+}{e}^{-})$ and ${\cal B}({\eta}^{\prime}{\to}{\rho}e^{+}e^{-})$ $\approx$ $10{\cal B}({\eta}^{\prime}{\to}{\omega}e^{+}e^{-})$. The maximum position of the dilepton distribution is $m_{e^{+}{e}^{-}}$ $\approx$ $1.33$ MeV. These decays are measurable with the advent of high statistics ${\eta }^{\mathrm{\prime }}$ experiments.