Accession Number : AD0679763

Title :   FIVE DIMENSIONAL QUASISPIN CLASSIFICATION OF SHELL MODEL STATES IN THE SENIORITY SCHEME.

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF PHYSICS

Personal Author(s) : Hemenger,Richard P.

Report Date : SEP 1968

Pagination or Media Count : 105

Abstract : States of configurations j(superscript N) of the nuclear shell model are classified using the properties of a five dimensional rotation group. A basis is used in which states of a given irreducible representation (specified by seniority and reduced isospin) are labeled with the physical quantum numbers N (nucleon number) and T, M sub T (isospin quantum numbers). A fourth quantum number is needed for a complete classification. Although there appears to be no fourth commuting operator which is either simple or of clear physical relevance, for all problems of practical importance this fourth number takes no more than two distinct values for fixed N,T and M sub T. It is shown how a complete classification can be made for these cases with results which are tractable and symmetrical under particle-hole conjugation. For the special case of seniority 2 and reduced isospin 1 the complete N,T dependence of matrix elements of the most general two-body interaction is found for an arbitrary j-shell or mixed configuration. This is carried out using a generalized Wigner-Eckart theorem. (Author)

Descriptors :   (*NUCLEAR SHELL MODELS, OPERATORS(MATHEMATICS)), NUCLEAR ENERGY LEVELS, NUCLEONS, NUCLEAR RADIATION SPECTROSCOPY, NUCLEAR SPINS, TABLES(DATA), THESES

Subject Categories : Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE