Study of the rare decay $J/\ddot{I}ˆ\to e^{+}{e}^{-}\ddot{I}•$

Abstract

We study the decay process of $J/\ddot{I}ˆ\to e^{+}{e}^{-}\ddot{I}•$ where the relatively clean electromagnetic (EM) transitions appear at leading order at tree level while the hadronic contributions only emerge via hadronic loop transitions. We include the low-lying scalar $f_0(980)$ and pseudoscalar $\hat{I}\cdot /\hat{I}{\cdot }^{\prime }$ as the dominant contributions in the evaluation of the hadronic loop contributions. It is found that the hadronic effects are negligible comparing with the EM contributions. The decay width of $J/\ddot{I}ˆ\to e^{+}{e}^{-}\ddot{I}•$ is determined to be about $2.12\times 10^{-6}$ keV if there is no any other leading mechanism contributing, and this result will be tested by the BESIII experiment with a large data sample of $J/\ddot{I}ˆ$.

8 pages, 2 figures