ON THEORY OF PAIRING OF FERMIONS IN SUPER CONDUCTIVITY AND SUPERFLUIDITY PROBLEM

In the paper we investigate the pairing of fermions due to direct inte raction between particles in the superconductivity and superfluidity p roblem. The selfconsistent equation for transition temperature in the system of fermions of different kinds is derived. It is shown that in this case the results are qualitatively different from those in the BC S theory. The pairing between electrons and positrons due to the scree ned Coulomb interaction is investigated. It is found that the transiti on temperature is of asymptotic behavior both for high and low densiti es of electron-positron plasma.