Abstract

The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended time-dependent Hartree-Fock approach, including a non-Markovian collision term. It is shown that the collision width satisfies a secular equation. By employing a Skyrme force, the isoscalar monopole, isovector dipole, and isoscalar quadrupole excitations in {sup 40}Ca are calculated and important quantum features are pointed out. The collisional damping due to decay into incoherent two-particle{endash}two-hole states is small at low temperatures but increases rapidly at higher temperatures. {copyright} {ital 1998} {ital The American Physical Society}

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