Quantum-deformation algebra studied as an analytical equivalent of the s, d interacting boson model: Energy spectra

Gupta, Raj K.; Ludu, Andrei

doi:10.1103/PhysRevC.48.593

Quantum-deformation algebra studied as an analytical equivalent of the s, d interacting boson model: Energy spectra

Raj K. Gupta
(
- ICTP, Trieste
)
,
Andrei Ludu
(
- ICTP, Trieste
)

Aug, 1993

4 pages

Published in:

Phys.Rev.C 48 (1993) 593-597

DOI:

10.1103/PhysRevC.48.593

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Abstract: (APS)

For a complex q-deformation parameter, the analytical energy expression of SOq(6) symmetry is shown to give all the three limiting symmetries of the U(6) group as well as all the intermediate results of mixed symmetries; i.e., it works equivalently as the numerically solvable general Hamiltonian of the s, d interacting boson model (IBM). Also, a symmetry triangle, equivalent to Casten’s symbolic symmetry triangle for the IBM, is obtained. The q-deformation parameter is found to behave as the symmetry mixing parameter, similar to one in the IBM. Applications are made to a range of nuclei, covering all the possible cases.