ON THE WIGNER SUPERMULTIPLET SCHEME.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1968
- Accession Number
- AD0679762
Entities
People
- K. T. Hecht
- Sing-chin Pang
Organizations
- University of Michigan