Abstract
A self-consistent approach to the description of collective states in nuclei is developed. It is based on a new form of density functional and quasiparticle RPA-type equations of the theory of finite Fermi systems solved in coordinate representation with exact allowance for both central and spin-orbit effective interactions. Within this approach the low-lying natural-parity states and octupole electric strength functions for the 16O, 40Ca, 48Ca and 208Pb nuclei are calculated. It is shown that by incorporating the spin-orbit interaction self-consistently the admixture of the isoscalar 1 − spurious state is avoided and the agreement with experimental data on both excitation energies and reduced probabilities of collective transitions is improved as a rule.
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