Global microscopic calculations of ground-state spins and parities for odd-mass nuclei

Systematic calculations of ground-state spins and parities of odd-mass nuclei have been performed within the Hartree-Fock-BCS (HFBCS) approach and the finite-range droplet model for nuclei for which experimental data are available. The unpaired nucleon has been treated perturbatively, and axial and left-right reflection symmetries have been assumed. As for the HFBCS approach, three different Skyrme forces have been used in the particle-hole channel, whereas the particle-particle matrix elements have been approximated by a seniority force. The calculations have been done for the 621 nuclei for which the Nubase 2003 data set gives assignments of spins and parities with strong arguments. The agreement of both spin and parity in the self-consistent model reaches about 80% for spherical nuclei, and about 40% for well-deformed nuclei regardless of the Skyrme force used. As for the macroscopic-microscopic approach, the agreement for spherical nuclei is about 90% and about 40% for well-deformed nuclei, with different sets of spherical and deformed nuclei found in each model.

Figure 1

Comparison with experimental data of the calculated g.s. spins and parities of odd-mass nuclei for which ${\beta }_2\notin [0.01;0.1]$ and $V_{12}⩾2$ MeV throughout the nuclide chart within the HFBCS model using the SIII interaction.

Figure 2

Same as Fig. 1 with the ${\mathrm{SkM}}^{*}$ interaction.

Figure 3

Same as Fig. 1 with the SLy4 interaction.

Figure 4

Same as Fig. 1 within the FRDM model.