  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.

Nuclear Theory