Role of the SU(3)-Symmetry-Breaking Terms of the Hamiltonian in the Pairing-Plus- Quadrupole Model for Two Oscillator Shells

2012 
An extended pairing-plus-quadrupole model for two oscillator shells, realized in the framework of the Elliott SU(3) scheme, is used to study the com- bined effects of the quadrupole-quadrupole, pairing, and single-particle inter- actions on energy spectra and lowest-J state shapes of nuclear systems. The pairing part of the Hamiltonian consists of pp-, nn- and pn-pairing terms and terms describing the pair-scattering between two oscillator shells. Results for systems of different mass are calculated in the ds + fp shells for a reasonable choice of values for the interaction parameter strengths.
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