Analytic Description of the Shape Phase Transition from Octupole Deformation to Octupole Vibrations

Details Analytic Description of the Shape Phase Transition from Octupole Deformation to Octupole Vibrations Analytic Description of the Shape Phase Transition from Octupole Deformation to Octupole Vibrations

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ennp.conf...83b&link_type=abstract

"EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS . Proceedings of the Carpathian Summer School of Physics 2005 . Held 13-24 June

Astronomy and Astrophysics

Astrophysics

Scientific paper

An analytic collective model in which the relative presence of the quadrupole and octupole deformations is determined by a parameter (φ0), while axial symmetry is obeyed, is developed. The model [to be called the Analytic Quadrupole Octupole Axially symmetric model (AQOA)] involves an infinite well potential, provides predictions for energy and B(EL) ratios which depend only on φ0, draws the border between the regions of octupole deformation and octupole vibrations in an essentially parameter-independent way, and in the actinide region describes well 226 Th and 226Ra, for which experimental energy data are shown to suggest that they lie close to this border. The similarity of the AQOA results with φ0 = 45° for ground state band spectra and B(E2) transition rates to the predictions of the X(5) model is pointed out.

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