Production of true para-muonium in linearly polarized photon fusions

Abstract

True muonium (TM)—the bound state of μ+μ−—has not been discovered yet. It was demonstrated that searching for TM via γγ fusions in heavy ion collisions is feasible due to the enhancement of the atom number. We study the production of the true para-muonium (pTM) in the collisions of linearly polarized photons in the experiments of heavy-ion collisions, calculate the production rate as well as the transverse spectrum of pTM, and explore the discovery potential in nuclear experiments. Our results show that there is a significant correlation between the linearly polarized photon distribution and the transverse momentum distribution of pTM. The optimal kinematic region of the generated pTM is identified, which can provide a theoretical guide to the detection of pTM in experiments. Published by the American Physical Society 2024