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

C. E. Vargas, Centro de Investigacion y de Estudios Avanzados
J. G. Hirsch, Universidad Nacional Autónoma de México
J. P. Draayer, Louisiana State University


The quasi-SU(3) symmetry, as found in shell-model calculations, refers to the dominance of the single-particle plus quadrupole-quadrupole terms in the Hamiltonian used to describe well-deformed nuclei, and to the subspace relevant in its diagonalization. It provides a very efficient basis truncation scheme. It is shown that a small number of SU(3) coupled irreps, those with the largest C2 values within the direct product of the proton and neutron SU(3) irreps with spin 0 and 1 (for even number of particles), and spin 1/2 and 3/2 for (for odd number of nucleons), are enough to describe the low-energy spectra, B(E2) transition strengths and band structure of 21Ne, 23Na and 25Mg odd-mass and 22Na, 24Na, 26Al and 28Al odd-odd nuclei. A simple but realistic Hamiltonian is employed. Results compare favorably both with experimental data and with full shell-model calculations. Limitations and possible improvements of the schematic Hamiltonian are discussed. © 2002 Elsevier Science B.V. All rights reserved.