Some spectroscopic properties of odd well-deformed nuclei in the rare-earth region

The region of well-deformed rare-earth nuclei provides a valuable testing ground to assess both single-particle (s.p.) and pairing properties, the latter being of course partly contingent on the former. Calculations of even-even, odd-even and odd-odd nuclei have been performed within a standard self-consistent Skyrme-Hartree-Fock plus seniority force BCS approach (with self-consistent blocking and taking into account time-reversal breaking effects for odd isotopes). We emphasize here the study of the influence of pairing properties on some spectroscopic properties. To that effect, we chose a parametrization of the Skyrme interaction which has proven to provide reasonable s.p. properties in general and in particular in this region, namely the well established Skyrme SIII force. The neutron and proton parameters of the seniority force (only n-n and p-p correlations are considered here) have been fitted from 3-points odd-even mass differences (centered on odd nuclei) for 16 odd-N and 14 odd-Z rare-earth isotopes yielding r.m.s energy differences from the experimental data of 75 and 122 keV respectively, quantities which are of the same order as the standard deviation of the experimental values (averaging around 600 keV). With the so-defined Hamiltonian we have calculated for a wide sample of well-deformed even-even nuclei in this region, moments of inertia within the M(Q) Inglis-Belyaev approximate ATDHFB ansatz corrected as in for the so-called Thouless-Valatin self-consistency effects. The spectroscopy of band-heads of the seniority-one type (evaluated as it has been done previously for a few actinide nuclei) has also been yielded and compared with experimental data, particularly around the ¹⁷⁸Hf region. Finally spectroscopic quadrupole moments and magnetic dipole moments have been evaluated for some of the above considered odd-N and odd-Z nuclear states. This document is composed of an abstract and the slides of the presentation. (authors)