Semiclassical inertia of nuclear collective dynamics

For the low-lying collective excitations in nuclei the transport coefficients are derived within the periodic-orbit theory in the lowest orders of semiclassical expansion corresponding to the extended Thomas-Fermi approach. The multipole vibrations near the spherical shape are described in the mean-field approximation through the infinitely deep square-well potential and Strutinsky averaging of the transport coefficients. Due to the consistency condition, the collective inertia for increased enough particle numbers and temperatures is essentially larger than that of calculated by the irrotational flow model. The average energies of collective vibrations, reduced friction, and effective damping coefficients are in better agreement with experimental data that those found from the hydrodynamic model