Study of shape transitions in N90 isotopes with beyond mean field calculations
Abstract
We study the spherical to prolate-deformed shape transition in 144-158Sm and 146-160Gd isotopes with modern calculations beyond the mean field with the Gogny D1S force. We compare the results with the shape-phase transition predicted by the collective hamiltonian model and with the experimental data. Our calculations do not support the existence of a first order phase transition in these isotopic chains in the viewpoint of the Bohr hamiltonian neither the interpretation of the nuclei N=90 as critical points.
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