On the evaluation of semiclassical nuclear many-particle many-hole level densities

An exact general scheme is described to calculate the m-particle n-hole fermion level densities for an arbitrary single particle hamiltonian taking into account the Pauli exclusion principle. This technique is applied to obtain level densities of the three-dimensional isotropic harmonic oscillator semiclassically in the Thomas-Fermi approach. In addition, we study the 1p-1h level density of the Woods-Saxon potential. For the harmonic oscillator we analyze the temperature dependence of the linear response function and the influence of pairing correlations on the 1p-1h level density. Finally, a Taylor expansion method of the mp-nh level densities is discussed. (orig.)