Spectral distributions of mixed configurations of identical nucleons in the seniority scheme II. Configuration-seniority scheme

Journal Article · Thu Jun 01 00:00:00 EDT 1978 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/S0003-4916(78)80002-5· OSTI ID:6985665

Quesne, C; Spitz, S

Configuration-seniority spectral distributions as well as fixed seniority and fixed total seniority and parity distributions are studied in detail for mixed configurations of identitical nucleons. The decomposition of any (1+2) -body Hamiltonian into irreducible tensors with respect to the unitary and symplectic groups in each subshell is obtained. Group theoretical methods based on the Wigner-Eckart theorem for the higher unitary groups are used to get analytical expressions for the partial widths of configuration-seniority distributions. During this derivation, various isoscalar factors for the chain SU (2..cap omega..) is contained inSp (2..cap omega..) are determined. Numerical calculations of centroid energies, partial widths, and mixing parameters are performed in the Sn and Pb nuclei with a surface delta and a gaussian interactions. Average ordinary and total seniority breaking is studied. Total seniority space truncations in the ground state region are discussed in the Pb nuclei in connections with various approximation schemes.

• Research Organization: Physique Theorique et Mathematique, Universite Libre de Bruxelles, Brussels, Belgium
• OSTI ID: 6985665
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 112:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
LEAD
SENIORITY NUMBER
SHELL MODELS
TIN
NUMERICAL SOLUTION
PARITY
SP GROUPS
SPECTRAL FUNCTIONS
U GROUPS
UNITARY SYMMETRY
ELEMENTS
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
METALS
NUCLEAR MODELS
PARTICLE PROPERTIES
QUANTUM NUMBERS
SYMMETRY
SYMMETRY GROUPS
653007* - Nuclear Theory- Nuclear Models- (-1987)