/SU(3) symmetry and scissors mode vibrations in nuclei
Abstract
We show that a nearly perfect SU(3) symmetry emerges from an extended projected shell model. Starting from a deformed potential we construct separate bases for neutron and proton collective rotational states by exact angular momentum projection. These rotational states are then coupled by diagonalizing a residual pairing plus quadrupole interaction. The states obtained exhibit a onetoone correspondence with an SU(3) spectrum up to high angular momentum and excitation, and their wave functions have a nearmaximal overlap with the SU(3) states. They can also be classified as rotational bands built on spin1ℏ phonon excitations, which correspond to a geometrical scissors mode and its generalizations. This work is a direct demonstration that numerical angular momentum projection theory extends the Elliott's original idea to heavy nuclear systems.
 Publication:

Nuclear Physics A
 Pub Date:
 May 2002
 DOI:
 10.1016/S03759474(01)014579
 arXiv:
 arXiv:nuclth/0003011
 Bibcode:
 2002NuPhA.703..130S
 Keywords:

 Nuclear Theory;
 Mathematical Physics;
 Nuclear Experiment;
 Physics  Atomic and Molecular Clusters
 EPrint:
 25 pages, 4 eps figures, final version accepted by Nucl. Phys. A