
Accession Number : AD0648531
Title : FIVEDIMENSIONAL QUASISPIN. THE N, TDEPENDENCE 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 fivedimensional quasispin formalism is used to factor out the n, Tdependent 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, Tdependent factors for one and two nucleon c.f.p.'s, and for the matrix elements of onebody operators and the twobody 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+1/21/2v, t) are restricted to (omega sub 1 O), (omega sub 1 1/2), (tt), and the states of (omega sub 1 l) with nv = 4k2T, (k = integer). Explicit expressions are given for the diagonal matrix elements of the general charge independent twobody interaction and the isovector and isotensor parts of the Coulomb interaction for seniorities v = 0 and 1, and the v = 2 states with n = 4k+22T. (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