Rearrangement contribution to single nucleon potential in hot nuclear matter and three-body force effect

Based on the finite temperature Brueckner-Hartree-Fock approach including a microscopic three-body force, the rearrangement correction to the single nucleon potential in hot nuclear matter, and its density and temperature dependence have been investigated by using the hole-line expansion for the mass operator. It turns out that the rearrangement contribution due to ground state correlations is repulsive and it depends sensitively on both density and temperature. The rearrangement contribution becomes larger as the density increases and becomes smaller as the temperature rises up. The three-body force affects considerably the rearrangement contribution of the single nucleon potential and its effect increases with density.. Inclusion of the three-body force in the calculation reduces the ground state correlations especially in the high density region and consequently makes the rearrangement contribution smaller.