Microscopic calculation of the effects of the g boson on the interacting boson model Hamiltonian

Journal Article · Sun Aug 01 04:00:00 EDT 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.26.668· OSTI ID:6688219

Sage, K A; Goode, P R; Barrett, B R

Second-order perturbation theory is used to examine the effect of excluding the g boson from the model space of the interacting boson model. Perturbative corrections are calculated in a paired fermion space (in a single j-shell approximation) and are mapped onto the interacting boson model Hamiltonian using the imaging techniques of Otsuka, Arima, and Iachello. The resulting renormalization of the boson parameters of the Hamiltonian to account for effects of the g boson depends strongly upon the numbers of valence protons and neutrons, and remains significant throughout the half shell.

• Research Organization: Department of Physics and Arizona Research Laboratories, University of Arizona, Tucson, Arizona 85721
• OSTI ID: 6688219
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 26:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
HAMILTONIANS
INTERACTING BOSON MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
NUCLEONS
PERTURBATION THEORY
PROTONS
QUANTUM OPERATORS
RENORMALIZATION
SHELL MODELS