In this article, consequences of the predicted existence of the N=16 and Z=16 strong superdeformed shell closures in the 32S nucleus, together with the role of the close-lying intruder orbitals, are analyzed and discussed.
The calculated proton and neutron single-particle spectra in 32S turn out to be nearly identical, apart from an approximately constant shift of about 6MeV. As a consequence, several rotational bands in nuclei around 32S are predicted to produce an ``identical band'' effect, and the corresponding results are discussed in some detail.
The property of additivity expressed, e.g., in terms of multipole moments, that was discovered originally in heavier SD nuclei, is confirmed to hold also for the 31,32,33S, 31P, and 33Cl nuclei. In these five nuclei, detailed predictions related to the dynamical moments and relative alignments are also illustrated. Similarities and differences between properties of various bands are discussed and criteria facilitating an identification of some characteristic excited configurations and single-particle orbitals are formulated.
It is pointed out that the time-reversal symmetry-breaking in the self-consistent HF mean-field can manifest itself through a strong separation between the bands that in a standard Nilsson approach must appear as nearly degenerate. Although a precise numerical estimate of such a separation depends on the parametrization of the Skyrme interaction, our calculations indicate that a relatively large, nearly 2MeV separations are possible. The origin of the underlying mechanism, and the configurations that may produce such strong an effect, are discussed.
This research was supported in part by the Polish Committee for Scientific Research (KBN) under Contract No. 2 P03B 040 14, by the French-Polish integrated actions programme POLONIUM, and by the computational grants from the Regionales Hochschulrechenzentrum Kaiserslautern (RHRK) Germany, from the Interdisciplinary Centre for Mathematical and Computational Modeling (ICM) of the Warsaw University, and from the Institut du Développement et de Ressources en Informatique Scientifique (IDRIS) of CNRS, France (Project No. 960333).