Accession Number : AD0648531
Title : FIVE-DIMENSIONAL QUASISPIN. THE N, T-DEPENDENCE OF SHELL MODEL MATRIX ELEMENTS IN THE SENIORITY SCHEME.
Descriptive Note : Technical rept.,
Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF PHYSICS
Personal Author(s) : Hecht,K. T.
Report Date : FEB 1967
Pagination or Media Count : 97
Abstract : The five-dimensional quasispin formalism is used to factor out the n, T-dependent parts of shell model matrix elements in the seniority scheme and derive reduction formulae which make it possible to express matrix elements for states of definite isospin T in the configuration j exp. n in terms of the corresponding matrix elements for the configuration j exp. v. The n, T-dependent factors for one and two nucleon c.f.p.'s, and for the matrix elements of one-body operators and the two-body interaction are expressed in terms of generalized R(5) Wigner coefficients. The needed R(5) Wigner coefficients are calculated in the form of general algebraic expressions for the seniorities v and reduced isospins t corresponding to the simpler R(5) irreducible representations. In this first contribution the R(5) representations (omega sub 1 t) = (j+1/2-1/2v, t) are restricted to (omega sub 1 O), (omega sub 1 1/2), (tt), and the states of (omega sub 1 l) with n-v = 4k-2T, (k = integer). Explicit expressions are given for the diagonal matrix elements of the general charge independent two-body interaction and the iso-vector and iso-tensor parts of the Coulomb interaction for seniorities v = 0 and 1, and the v = 2 states with n = 4k+2-2T. (Author)
Descriptors : (*NUCLEAR SHELL MODELS, *NUCLEAR SPINS), (*NUCLEONS, NUCLEAR RADIATION SPECTROSCOPY), PROTONS, NEUTRONS, MATRICES(MATHEMATICS), EQUATIONS, OPERATORS(MATHEMATICS), INTERACTIONS, VECTOR ANALYSIS, TENSOR ANALYSIS, NUCLEAR ENERGY LEVELS, CLASSIFICATION
Subject Categories : Nuclear Physics & Elementary Particle Physics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE