Temperature effect on the isovector plus isoscalar neutron-proton pairing correlations using a path integral approach

Abstract

Explicit gap equations in the isovector plus isoscalar (T = 0 + T = 1) neutron-proton (n-p) pairing case at finite temperature are established using the path integral approach. It is shown that they do generalize the ones obtained in the pure isovector (T = 1) pairing case, as well as those obtained within the conventional finite temperature BCS (FTBCS) theory in the pairing between like-particles case. A numerical study is then performed using the schematic one-level model.