Simple Scenario of Photons Emission from Anti Charm–Gluon Interaction using QCD Theory

Abstract

In this work, the chromodynamics (QCD) theory was used to investigate the photon rate which was produced in interactions of anti-charm with gluon. The simple quantum scenario theory was implemented to give the rate equation that describes the collision of quark and gluon at a chemical potential  .The photon emission rate was evaluated from the anti-charm-gluon interaction of the cg →  dγ  collision at the temperature of the system in the range of 180 -  360 MeV with different critical temperatures (e.g. 116.575, 139.891, 157.377 and 174.863 MeV) with photons energy  GeV under the assumption that fugacity of quark and gluon  are   =0.08 and =0.02 respectively . The photon rate increases with decreasing the coupling of quark and gluon according to a decrease in the temperature of the system from 360 MeV to 180 MeV. The photon emission spectrum was calculated and discussed using a photon energy of 1GeV to 10GeV with different critical temperatures. In terms of QCD theory, the quantitative accomplishment was made for a unique six-flavor number n_f = 4 + 2 of photon emission. The photon rate reaches minimum with photon energy E=10 GeV, it reflects the less coupling for the cg →  dγ interaction.