The finite-temperature one-pion exchange potential with vertices corrections

Abstract

The temperature effects of the three-line vertices graph on the one-pion exchange potential (OPEP) with the pseudoscalar and pseudovector couplings is investigated using the method of Matsubara imaginary-time Green function. It is found that the effective coupling of nucleon-nucleon-pion (NN pi ) decreases with temperature and drops rapidly at high temperature. At a critical temperature Tc, the effective NN pi coupling diminishes to zero and the one-pion exchange potential vanishes. Tc is determined to be 215 MeV. OPEP with both mass and vertices corrections are obtained.