Published January 1994
| Version v1
Journal article
Sum rules in the proton-neutron interacting boson model: Generalized treatment and specific applications
Creators
- 1. Institute for Nuclear Physics and Theoretical Physics, Proeftuinstraat 86, B-9000 Gent (Belgium)
Description
A detailed study of sum rules for E0,E2 and M1 and M3 transitions within the framework of the proton-neutron interacting boson model (IBM-2) is carried out. Both the non-energy-weighted as well as linear energy-weighted sum rules are derived for rather general IBM-2 Hamiltonians. Special attention is given to the M1 sum rule for which a large amount of data exists. We also show how these more general sum rule results reduce to simple answers when considering the limit of U(5), SU(3), and O(6) dynamical symmetries. Finally, a relation between the M1 and M3 sum rules is pointed out
Additional details
Publishing Information
- Journal Title
- Physical Review. C, Nuclear Physics
- Journal Volume
- 49
- Journal Issue
- 1
- Journal Page Range
- p. 156-175.
- ISSN
- 0556-2813
- CODEN
- PRVCAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 25041923
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- E0-TRANSITIONS; E2-TRANSITIONS; INTERACTING BOSON MODEL; MATRIX ELEMENTS; M1-TRANSITIONS; M3-TRANSITIONS; NEUTRONS; PROTONS; SU-3 GROUPS; SUM RULES; U-5 GROUPS
- Descriptors DEC
- BARYONS; CATIONS; CHARGED PARTICLES; ELEMENTARY PARTICLES; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FERMIONS; HADRONS; HYDROGEN IONS; HYDROGEN IONS 1 PLUS; IONS; LIE GROUPS; MATHEMATICAL MODELS; MULTIPOLE TRANSITIONS; NUCLEAR MODELS; NUCLEONS; SHELL MODELS; SU GROUPS; SYMMETRY GROUPS; U GROUPS