Numerical calculation of meson mass using two-body Dirac equation

초록

Quark-gluon plasma is a material that is expected to be formed in early universe according to Quantum Chromodynamics, and the theoretical and experimentalevidence for its existence are being discovered. Since QGP is in thermal equilibrium, the study on its thermal properties is ongoing to understand the time-evolution ofQGP. As the temperature rises, mesons are separated into quark and gluons at their dissociation temperature. In this way, the amount and the types of mesonssurvived at the specific time can give the information on the temperature of QGP The meson masses are one of the observables, which vary in temperature and do notexist over the dissociation temperature. In this study, we solve a two-body Dirac equation with temperature-dependent potential to find a meson mass. As temperaturedependent potential, we use AdS/CFT potential with 5-dimentional gravitational model which confirms the confinement within a quark-antiquark system. Relativeerrors are less than 1% for mesons having a mass more than 3 GeV.