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

✍ Scribed by C.E. Vargas; J.G. Hirsch; J.P. Draayer

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 403 KB
• Volume: 697
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(01)01261-1

✦ Synopsis

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 C 2 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 lowenergy spectra, B(E2) transition strengths and band structure of 21 Ne, 23 Na and 25 Mg odd-mass and 22 Na, 24 Na, 26 Al and 28 Al 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.