Improved measurements of the Dalitz decays $η/η'\rightarrowγe^{+}e^{-}$
Based on a data sample of 10 billion $J/ψ$ events collected with the BESIII detector, improved measurements of the Dalitz decays $η/η'\rightarrowγe^+e^-$ are performed, where the $η$ and $η'$ are produced through the radiative decays $J/ψ\rightarrowγη/η'$. The branching fractions of $η\rightarrowγe^+e^-$ and $η'\rightarrowγe^+e^-$ are measured to be $(7.07 \pm 0.05 \pm 0.23)\times10^{-3}$ and $(4.83\pm0.07\pm0.14)\times10^{-4}$, respectively. Within the single pole model, the parameter of electromagnetic transition form factor for $η\rightarrowγe^+e^-$ is determined to be $Λ_η=(0.749 \pm 0.027 \pm 0.007)~ {\rm GeV}/c^{2}$. Within the multi-pole model, we extract the electromagnetic transition form factors for $η'\rightarrowγe^+e^-$ to be $Λ_{η'} = (0.802 \pm 0.007\pm 0.008)~ {\rm GeV}/c^{2}$ and $γ_{η'} = (0.113\pm0.010\pm0.002)~ {\rm GeV}/c^{2}$. The results are consistent with both theoretical predictions and previous measurements. The characteristic sizes of the interaction regions for the $η$ and $η'$ are calculated to be $(0.645 \pm 0.023 \pm 0.007 )~ {\rm fm}$ and $(0.596 \pm 0.005 \pm 0.006)~ {\rm fm}$, respectively. In addition, we search for the dark photon in $η/η^\prime\rightarrowγe^{+}e^{-}$, and the upper limits of the branching fractions as a function of the dark photon are given at 90\% confidence level.