Study of the $η^{\prime}$ ${\to}$ $Ve^{+}e^{-}$ decay with hidden local symmetry model

Abstract

Within the hidden local symmetry framework, the Dalitz decay $η^{\prime}$ ${\to}$ $Ve^{+}e^{-}$ is studied with the vector meson dominance model. It is found that the partial width $Γ(η^{\prime}{\to}ωe^{+}e^{-})$ ${\approx}$ $40$ eV and branching ratio ${\cal B}(η^{\prime}{\to}ωe^{+}e^{-})$ ${\approx}$ $2{\times}10^{-4}$, and $Γ(η^{\prime}{\to}ρe^{+}e^{-})$ ${\approx}$ $10Γ(η^{\prime}{\to}ωe^{+}e^{-})$ and ${\cal B}(η^{\prime}{\to}ρe^{+}e^{-})$ ${\approx}$ $10{\cal B}(η^{\prime}{\to}ωe^{+}e^{-})$. 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 $η^{\prime}$ experiments.