Predictions of the interacting boson approximation in a consistent Q framework

Journal Article · Sat Oct 01 00:00:00 EDT 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.1798· OSTI ID:5664600

Warner, D D; Casten, R F

The predictions of the interacting boson approximation are studied in the consistent Q formalism in which the same parametrization of the boson quadrupole operator is used in both the Hamiltonian and in the E2 operator. In this scheme, wave functions, relative energies of states of the same spin, and all relative B(E2) values depend on only a single parameter, chi/sub Q/, which appears in the internal structure of the operator Q. This feature allows a number of simple results to be obtained, principally through the construction of contour plots of various observables in terms of chi/sub Q/ and the boson number N. The entire SU(3)--O(6) region, including both limiting symmetries, can be treated by allowing chi/sub Q/ to vary between its respective limiting values for those two symmetries. For deformed nuclei, a number of characteristic features are obtained, involving the predicted decay of the ..gamma.. band and the energy and decay of the first 0/sup +/ excitation. It is shown that the dominance of the ..beta --> gamma.. over ..beta -->..g matrix elements and the near equality of ..beta --> gamma.. and ..gamma -->..g E2 matrix elements are inherent features of the model. The automatic inclusion of band mixing in the interacting boson approximation is discussed in terms of the mixing parameter Z/sub ..gamma../ and it is shown that the interacting boson approximation reproduces the empirical systematics in Z/sub ..gamma../. The concepts of the intrinsic state formalism are reviewed in the context of the consistent Q framework and shown to imply vanishing ..beta -->..g transitions, for any boson number, in the absence of K mixing effects.

• Research Organization: Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5664600
• Journal Information: Phys. Rev. C; (United States), Vol. 28:4
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
INTERACTING BOSON MODEL
BRANCHING RATIO
DEFORMED NUCLEI
E2-TRANSITIONS
HAMILTONIANS
PROBABILITY
QUADRUPOLE MOMENTS
SU-3 GROUPS
SYMMETRY BREAKING
ENERGY-LEVEL TRANSITIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
QUANTUM OPERATORS
SHELL MODELS
SU GROUPS
SYMMETRY GROUPS
653007* - Nuclear Theory- Nuclear Models- (-1987)