Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states of^{32} S,^{36} Ar,^{38} Ar, and^{40} Ca

Physical Review C (Impact Factor: 3.72). 10/2003; 68(4). DOI: 10.1103/PhysRevC.68.044321
Source: arXiv

ABSTRACT We investigate the coexistence of spherical, deformed, and superdeformed states at low spin in 32S, 36Ar, 38Ar, and 40Ca. The microscopic states are constructed by configuration mixing of BCS states projected on good particle number and angular momentum. The BCS states are themselves obtained from Hartree-Fock BCS calculations using the Skyrme interaction SLy6 for the particle-hole channel and a density-dependent contact force in the pairing channel. The same interaction is used within the generator coordinate method to determine the configuration mixing and calculate the properties of even-spin states with positive parity. Our calculations underestimate moments of inertia. Nevertheless, for the four nuclei, the global structural properties of the states of normal deformation as well as the recently discovered superdeformed bands up to spin 6 are correctly reproduced with regard to both the energies and the transition rates.

  • [Show abstract] [Hide abstract]
    ABSTRACT: Starting from successful self-consistent mean-field models, this paper discusses why and how to go beyond the mean field approximation. To include long-range correlations from fluctuations in collective degrees of freedom, one has to consider symmetry restoration and configuration mixing, which give access to ground-state correlations and spectroscopy.
    The European Physical Journal Special Topics 04/2008; 156(1):217-228. · 1.80 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: Recent developments of physics of nuclear clustering are discussed. Our discussions are mostly focussed on structural problems because the characteristic feature of the recent trends is just the remarkable developments in the various problems of structure physics. Representative subjects we discuss are (i) novel cluster structure in neutron-rich nuclei, (ii) cluster gas states, (iii) molecular states and superdeformation, (iv) coexistence mechanism of cluster and mean-field-type states, (v) cluster structure in unbound energy region, and (vi) ab initio theoretical approach to cluster structure. Various new phenomena and systems of clustering which we discuss in this paper imply the basic importance of clustering dynamics in nuclear many-body systems, which is nothing but the manifestation of the richness of nuclear many-body systems.
    Progress of Theoretical Physics Supplement 01/2012; · 1.25 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: Recent high-spin observations reveal entirely new modes of collective rotational motion and the existence of novel symmetries and spontaneous symmetry breaking phenomena, uncovering hitherto unexploited coupling schemes of intrinsic and collective degrees of freedom. It continues to stimulate the theoretical progress in the field, which clearly turns towards a microscopic description based on self-consistent approaches using either an effective non-relativistic Hamiltonian or an effective relativistic Lagrangian. New coupling schemes call not only for symmetry unrestricted mean-field theories, but also for extensions going beyond the mean-field. The progress in the development of these theoretical methods is discussed in this review.
    Reports on Progress in Physics 11/2004; 68(1):131. · 13.23 Impact Factor


Available from