Beyond-mean-field-model analysis of low-spin normal-deformed and superdeformed collective states ofS<mml:mprescripts/><mml:none/>32,Ar<mml:mprescripts/><mml:none/>36,Ar<mml:mprescripts/><mml:none/>38, andCa<mml:mprescripts/><mml:none/>40

2003/05/08 by M. Bender, H. Flocard, P.-H. Heenen +1 · 4 citations
Physics and Astronomy · #Angular momentum #Atomic physics #Condensed matter physics #Field (mathematics) #Mean field theory #Mixing (physics) #Moment of inertia #Nuclear physics research studies #Pairing #Parity (physics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rare-earth and actinide compounds #Spin (aerodynamics) #Superconductivity #nucl-th

paper · pdf · doi:10.1103/physrevc.68.044321

published as Phys.Rev. C68 (2003) 044321 · 14 pages revtex4, 15 eps figures, 8 tables

arxiv created 2003/05/08 · openalex publication_date 2003/10/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Superdeformed band in36Ardescribed by the projected shell model
• The superdeformed excited band of Ca-40
• GCM Analysis of the collective properties of lead isotopes with exact projection on particle numbers
• Properties of the predicted superdeformed band in32S
• Self-consistent mean-field models for nuclear structure
• Nuclear Constitution and the Interpretation of Fission Phenomena
• 3D solution of Hartree-Fock-Bogoliubov equations for drip-line nuclei
• Quantum Theory of Angular Momentum

Cited by

• Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions
• Particle-number restoration within the energy density functional formalism
• Variation after parity projection calculation with the Skyrme interaction for light nuclei
• The shell model as a unified view of nuclear structure
• Beyond the relativistic mean-field approximation. II. Configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Global study of the spectroscopic properties of the first2+state in even-even nuclei