Creating true muonium via charmonium radiative decay

TL;DR

This paper explores the potential to produce and detect true muonium, a muon-antimuon bound state, through radiative decay of $J/ar{J}$ mesons in high-energy electron-positron experiments, emphasizing future experimental prospects.

Contribution

It analyzes the feasibility of detecting true muonium via $J/ar{J}$ radiative decay in current and upcoming experiments, highlighting potential future detection at the Super Tau-Charm Facility.

Findings

Detection of true muonium via $J/ar{J}$ decay is challenging but potentially feasible with future experimental updates.

The production rate of true muonium in current experiments is very low.

Future high-luminosity experiments could enable observation of true muonium through radiative decay channels.

Abstract

True muonium, the bound state of a muon and an antimuon ($\mu^+\mu^-$), has long been theoretically predicted but remains experimentally elusive. We investigate the production of true para-muonium in the radiative decay of $J/\psi$ meson,and analyze the prospects for detecting true muonium in current and future high-energy $e^+e^-$ experiments, particularly focusing on the BESIII experiment and the proposed Super Tau-Charm Facility. Although the events are rare at the super tau-charm facility, the detection of true para-muonium via $J/\psi$ radiative decays could become feasible at its future updates.