Interacting-boson-approximation E2 operator in deformed nuclei

Journal Article · Thu Apr 01 00:00:00 EST 1982 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.25.2019· OSTI ID:5227570

Warner, D D; Casten, R F

The structure of the interacting boson approximation E2 operator appropriate to deformed nuclei is investigated. It is shown that, in the SU(3) limit of the Hamiltonian, the relative B(E2) values of transitions between different representations of SU(3) are independent of the parametrization chosen for the operator. This feature leads to a better understanding of the geometrical analogues of the bands predicted by the interacting boson approximation. More generally, a study of empirical B(E2) values in the deformed rare earth nuclei indicates the suitability of an almost constant form for the E2 operator across the region, and it is shown that the deduced form of the operator automatically predicts a universal dominance of ..gamma -->..g and ..beta --> gamma.. transitions, over ..beta -->..g transitions.

• Research Organization: Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 5227570
• Journal Information: Phys. Rev. C; (United States), Vol. 25:4
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEFORMED NUCLEI
E2-TRANSITIONS
INTERACTING BOSON MODEL
HAMILTONIANS
MATRIX ELEMENTS
RARE EARTH NUCLEI
SU-3 GROUPS
ENERGY-LEVEL TRANSITIONS
INTERMEDIATE MASS NUCLEI
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SYMMETRY GROUPS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
653007 - Nuclear Theory- Nuclear Models- (-1987)