5 research outputs found
Remarcs on the shape transition from spherical to deformed gamma unstable nuclei
Energies and transition probabilities for low lying states in Ba and
^{104Ru were calculated within a hybrid model.The ground and the first
states are described alternatively as a harmonic and anharmonic vibrator states
while the remaining states as states with E(5) symmetry. One concludes that a
gradual setting of the 'critical' potential yields a better agreement with the
experimental data. Very good agreement with the data is obtained for
Ru. Comparing the present results with those of E(5) symmetry, it is
conspicuous that the present formalism add corrections to the E(5) formalism by
bringing the predictions closer to the experimental data. Analytical
relationship between the states with U(5) symmetry and those given by the E(5)
description is established.Comment: 21 pages, 3 figures, submitted for publicatio
Analytical description of the Coherent State Model for near vibrational and well deformed nuclei
Analytical formulas for the excitation energies as well as for the electric
quadrupole reduced transition probabilities in the ground, beta and gamma bands
were derived within the coherent state model for the near vibrational and well
deformed nuclei. Numerical calculations were performed for 42 nuclei exhibiting
various symmetries and therefore with specific properties. Comparison of the
calculation results with the corresponding experimental data shows a good
agreement. The parameters involved in the proposed model satisfy evident
regularities being interpolated by smooth curves. Few of them, which fall out
of the curves, are interpreted as signatures for a critical point in a specific
phase transition. This is actually supported also by the figures showing the
excitation energy dependence on the angular momentum. The formulas provided for
energies and B(E2) values are very simple, being written in a compact form, and
therefore easy to be handled to explain the new experimental data.Comment: 9 figures, 50 page