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In recent years, the N = 90 isotones have been investigated to a large extent in relation to studies of quantum phase transitions. In this paper, we use the mean field approach with pairing-deformation self-consistent total Routhian surface (TRS) calculations to study the N = 90 isotones and neighboring nuclei. The important probes, such as moments of inertia, quadrupole moments, the energy ratio of E(4(1)(+))/E(2(1)(+)), and octupole and hexadecapole degrees of freedom are considered and the calculated results are compared with the available experimental data. From a microscopic point of view, the N = 90 isotones characterize the onset of the deformed region and are very well described by mean field calculations. The results are compared with those from other studies in beyond mean field approximations. Shape coexistence phenomena in the region of interest are discussed., QC 20200727

The present paper clarifies on the quantum level the concept of selfconsistent interactions and symmetry restoration by means of the generalized scaling fields. It is shown that the concept of symmetry restoration in RPA order fan directly be related to the concept of selfconsistent interations. The difference of the two methods originates from the coupling of the kinetic energy operator to the perturbing field. The presented method is superior to the semiclassical approach. It also yields, in its limiting case, the multipole-multipole effective interaction., QC 20100525

Excited states have been identified for the first time in very neutron deficient Pt-171.172 nuclei using the recoil-or-decay tagging technique. The ground-state band in Pt-172 has been established up to I-pi = 8+. A similar level sequence, presumably built on the I-pi = 13/2(+) state, is observed for Pt-171. The data are compared with theoretical calculations based on the mean field approach and the random phase approximation and are put into the context of the systematics of platinum isotopes. (C) 1998 Elsevier Science B.V. All rights reserved., QC 20100521