GROUP THEORETIC MODEL INTERACTIONS AS AN APPROACH TO 2S-1D SHELL NUCLEI. THE LEVEL STRUCTURE OF FLUORINE-20
Abstract
Based on the studies of S. Lie and E. Cartan in the theory of continuous groups of transformations, M. Moshinsky has reformulated the nuclear shell many-body problem in second-quantization language. The methods due to J. P. Elliott for simplifying the basis set of state functions by classification according to the group SU(3) are recast into the above-mentioned reformulation. The purpose is to make low-energy nuclear calculations feasible for nuclei with 4 and more particles in the 2s-1d shell and thus render the possibility of probing for SU(3) symmetries in these nuclei. A hamiltonian model consisting of pairing and quadrupole-quadrupole terms is known to approximate respectively the short- and longranged correlations between nucleons given by an arbitrary, reasonably shaped two-nucleon central interaction potential. The former model is generalized to include exchange effects at the long range as well as spin- orbit coupling, and is studied in detail from the viewpoint of its various group symmetries. It is then employed to calculate the low-lying levels of Fluorine- 20 which show reasonable accord with the empirical level-scheme. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 10, 1965
- Accession Number
- AD0613008
Entities
People
- Manuel De Llano Jr.
Organizations
- United States Naval Research Laboratory