[en] Various distribution functions characterising the thermally irradiated lepton pairs are found under the fixed temperature of electromagnetic transparent plasma volume. It is shown that the energy distribution in the thermal irradiation photon spectrum resmbles the Fermi-distribution of source elementary quark radiators. In actually achievable quark-gluon plasma production situation under the ultrarelativistic nucleus-nucleus collisions the plasma hydrodynamical broadening accompanied by cooling is taken into account. Resulting distribution of electromagnetically interacting paricles by energies and angles in the closed form is found. Taking into account the possible experiment difficulties, leptons and mostly muons appear to be the most accepatable