Study of the rare decay $J/\psi\rightarrow e^+e^- \phi$

TL;DR

This paper analyzes the decay of J/ψ into e+e- and φ, finding electromagnetic processes dominate over hadronic loops, with a predicted decay width testable by BESIII experiment.

Contribution

The study provides a detailed calculation showing electromagnetic transitions dominate in J/ψ decay to e+e- φ, with hadronic effects being negligible, and predicts a specific decay width.

Findings

Hadronic effects are negligible compared to electromagnetic contributions.

Predicted decay width is approximately 2.12×10⁻⁶ keV.

Results will be tested by BESIII with large data samples.

Abstract

We study the decay process of $J/\psi\rightarrow e^+e^- \phi$ 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 $\eta/\eta'$ 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 $J/\psi\rightarrow e^+e^- \phi$ 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 $J/\psi$.