Shell-Model Description of Rotational Motion in Odd-Mass Nuclei.
An algebraic shell-model realization of a quantum rotor for integral and half-integral angular momenta is introduced. The underlying symmetry of the theory is the SU(3) supset SO(3) group structure. The algebraic model reproduces the eigenvalues of the quantum rotor hamiltonian well for normal shell-model configurations; the mapping is exact for small values of the angular momentum in large SU(3) representations. A shell-model hamiltonian using this algebraic realization of the quantum rotor and other non-central one-body interactions is used to reproduce the experimental spectra of representative even and odd -mass ds-shell nuclei.
- Pub Date:
- January 1992
- Physics: Nuclear