Comparison of the E(5) Critical Point Symmetry to the γ-Rigid Solution of The Bohr Hamiltonian for γ =30°

Details Comparison of the E(5) Critical Point Symmetry to the γ-Rigid Solution of The Bohr Hamiltonian for γ =30° Comparison of the E(5) Critical Point Symmetry to the γ-Rigid Solution of The Bohr Hamiltonian for γ =30°

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..545b&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 545-545 (2007).

Mathematics

Group Theory

Collective Models, Models Based On Group Theory, Collective Levels

Scientific paper

A γ-rigid solution of the Bohr Hamiltonian for γ=30° is derived. Bohr Hamiltonians β-part being related to the second order Casimir operator of the Euclidean algebra E(4). The solution is called Z(4) since it is corresponds to the Z(5) model with the γ variable ``frozen''. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are in close agreement to the E(5) critical point symmetry as well as to the experimental data in the Xe region around A=130.

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