Microscopic Interacting Boson Model for nondegenerate orbits

Journal Article · Mon Nov 01 04:00:00 EST 1982 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(82)90107-5· OSTI ID:6206618

Pittel, S; Duval, P D; Barrett, B R

The microscopic Interacting Boson Model formalism is outlined and a general procedure is described for deriving the parameters of the model when the valence orbits are nondegenerate. This latter technique involves expanding pair creation operators for J = 0 (or J = 2) correlated pairs in terms of J = 0 (or J = 2) pair creation operators for individual orbits. This expansion enables us to relate matrix elements for the multi-orbit problem to matrix elements for individual orbits for which the well-known Racah-seniority reduction formulae apply. Our calculated results for the parameters of the boson-boson quadrupole-quadrupole interaction show a definite relationship to the underlying subshell structure of each major shell, in agreement with the phenomenological results. It is also discovered that the results obtained using particle states are not the same as those obtained using hole states, due to the truncation scheme used to establish the correlated J = 0 and J = 2 pairs.

• Research Organization: Bartol Research Foundation of The Franklin Institute, University of Delaware, Newark, Delaware 19711
• OSTI ID: 6206618
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 144:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HAMILTONIANS
INTERACTING BOSON MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
ORBITS
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS