Dimuonium Production In Relativistic Heavy Ion Collisions

The production of dimuonium in relativistic heavy ion collisions is studiedthrough a self-consistent approach by solving the transport equation and hydrodynamicequations, and the yield and distribution are obtained at RHIC and LHC energies.The mechanism of producing dimuonium in relativistic heavy ion collisions is in-vestigated, and the production in quark gluon plasma is found to be dominant for theevents with impact parameter b2RA(RAis the radius of colliding nucleus), with themain processes qqˉâ†'(μ+μ)g. A transport equation is used to describe the motionof dimuonium in quark gluon plasma, and hydrodynamic equations are used to de-scribe the evolution of quark gluon plasma. The transport equation and hydrodynamicequations are solved at RHIC and LHC energies, and we fnd that:1)the cross section of dimuonium production in relativistic heavy ion collisions ismuch higher than that in lepton collisions (e.g. electron-positron collisions);2)the transverse energy distribution of dimuonium carries the information of themedium, and thus dimuonium is probable to be used as an electromagnetic probe ofquark gluon plasma.