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:

1968-09-01

Pagination or Media Count:

106.0

Abstract:

Calculation of Wigner and Racah coefficients for the group SU4 contains SU2 x SU2 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 SU4 coefficients needed to evaluate one- and two-particle cfps, 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 and Elementary Particle Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE