True muonium production in ultraperipheral $PbPb$ collisions

TL;DR

This paper explores the production of true muonium, a bound muon-antimuon state, in ultraperipheral lead-lead collisions, providing estimates for experimental observability at RHIC, LHC, and FCC energies.

Contribution

It offers a detailed theoretical analysis of true muonium production via gamma-gamma interactions, including absorptive corrections and nuclear form factors, at various collider energies.

Findings

Predicted cross sections and rapidity distributions for true muonium production.

Indicated the feasibility of observing true muonium in upcoming experiments.

Provided estimates for production rates at RHIC, LHC, and FCC.

Abstract

In this paper we investigate the production of a true muonium state, which is an atom consisting of a $\mu^+ \mu^-$ bound state, by $\gamma \gamma$ interactions in ultraperipheral $PbPb$ collisions considering an accurate treatment of the absorptive corrections and for the nuclear form factor. The rapidity distributions and cross sections are estimated considering the RHIC, LHC and FCC energies. Our results indicate that the experimental analysis can be useful to observe, for the first time, the true muonium state.