Open AccessZ(5): Critical Point Symmetry for the Prolate to Oblate Nuclear Shape Phase Transition
Author(s) -
Dennis Bonatsos,
D. Lenis,
D. Petrellis,
P. A. Terziev
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2960
Subject(s) - prolate spheroid , oblate spheroid , hamiltonian (control theory) , critical point (mathematics) , phase transition , physics , symmetry (geometry) , bohr model , quantum critical point , condensed matter physics , quantum phase transition , classical mechanics , quantum mechanics , geometry , mathematics , mathematical optimization
A critical point symmetry for the prolate to oblate shape phase transition is intro duced, starting from the Bohr Hamiltonian and approximately separating variables for γ=30°. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are found to be in good agreement with experimental data for 194Pt, which is supposed to be located very close to the prolate to oblate critical point, as well as for its neighbours (192Pt, 196Pt).