Accession Number : AD0679762

Title :   ON THE WIGNER SUPERMULTIPLET SCHEME.

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF PHYSICS

Personal Author(s) : Hecht,K. T. ; Pang,Sing-Chin

Report Date : SEP 1968

Pagination or Media Count : 106

Abstract : Calculation of Wigner and Racah coefficients for the group SU(4) contains (SU(2) x SU(2)) make it possible to perform the spin, isospin sums in the cfp expansion of the matrix elements of one- and two-body operators in the Wigner supermultiplet scheme. The SU(4) coefficients needed to evaluate one- and two-particle cfp's, the matrix elements of one-body operators, and the diagonal matrix elements of two-body operators are calculated in general algebraic form for some many-particle states. Applications are made to the calculation of the matrix elements of the complete space scalar part of the Coulomb interaction and the space scalar part of the particle-hole interaction for nucleons in different major oscillator shells. (Author)

Descriptors :   (*NUCLEAR SHELL MODELS, *GROUPS(MATHEMATICS)), OPERATORS(MATHEMATICS), WAVE FUNCTIONS, NUCLEAR SPINS, TABLES(DATA)

Subject Categories : Nuclear Physics & Elementary Particle Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE