Assuming axial symmetry of the nuclear shape and the Skyrme force SIII updated on the pairing interaction ${\mathit{V}}_0$δ(r${\to }_{12}$) we performed constrained Hartree-Fock calculations of well deformed even gadolinium ${}_{64}{}^{}{}_{}{}^{}\mathrm{Gd}$ isotopes with neutron numbers N=86–106. The mass spectrum, nuclear radii, neutron skin thickness, quadrupole moments (deformations), and low-spin rotational levels are calculated. In all the cases viewed the angular momentum projection after variation was performed. This was achieved by explicit inclusion of the rotational energy -〈?${\mathrm{^}}^2$〉/2J. The procedure corrects the ground state deformations and gives deformations and energies of low excited states as well. The results found have all been compared to experimental data. © 1996 The American Physical Society.

• Received 20 September 1995

DOI:https://doi.org/10.1103/PhysRevC.53.1571