Quasi-SU(3) truncation scheme for even-even sd-shell nuclei

Abstract The quasi-SU(3) symmetry was uncovered in full pf and sdg shell-model calculations for both even-even [1] and odd-even nuclei [2]. It manifests itself through a dominance of single-particle and quadrupole-quadrupole terms in a Hamiltonian used to describe welldeformed nuclei. A practical consequence of the quasi-SU(3) symmetry is an efficient basis truncation scheme. In [3] it is shown that when this type of Hamiltonian is diagonalized in an SU(3) basis, only a few irreducible representations (irreps) of SU(3) are needed to describe the yrast band, the leading S=0 irrep augmented with the leading S=1 irreps in the proton and neutron subspaces. In the present article the quasi-SU(3) truncation scheme is used, in conjunction with a “realistic but schematic” Hamiltonian that includes the most important multipole terms, to describe the energy spectra and B(E2)The quasi-SU(3) symmetry was uncovered in full pf and sdg shell-model calculations for both even-even [1] and odd-even nuclei [2]. It manifests itself through a dominance of single-particle and quadrupole-quadrupole terms in a Hamiltonian used to describe welldeformed nuclei. A practical consequence of the quasi-SU(3) symmetry is an efficient basis truncation scheme. In [3] it is shown that when this type of Hamiltonian is diagonalized in an SU(3) basis, only a few irreducible representations (irreps) of SU(3) are needed to describe the yrast band, the leading S=0 irrep augmented with the leading S=1 irreps in the proton and neutron subspaces. In the present article the quasi-SU(3) truncation scheme is used, in conjunction with a “realistic but schematic” Hamiltonian that includes the most important multipole terms, to describe the energy spectra and B(E2) Electronic address: [email protected] Electronic address: [email protected] Electronic address: [email protected]