Temperature-dependent imaginary part of the off-shell nucleon self-energy and the second order correction of real part of the nucleon self-energy

The imaginary part of the off-shell nucleon self-energy at finite temperatu re in nuclear matter, where the polarization and correlation contributions of exchanges of the meson are taken into account, is investigated based on Walecka's meson-nucleon model and thermofield dynamics. The second order co rrection of temperature-dependent real part of the nucleon self-energy is c alculated in terms of the dispersion relation. The Schrodinger equivalent p otential of relativistic microscopic optical potential of a nucleon at fini te temperature in nuclear medium is also studied.