Analytical description of the coherent state model for near vibrational and well deformed nuclei

► The coherent state model is very efficient in describing energies and transition probabilities. ► However, the matrix elements contain overlap integrals which are not easy to calculate. ► Here we remove such a difficulty providing compact and simple formulas for both energies and transitions. ► It is for the first time that the coherent state model is used for a large number of nuclei (42). ► By this paper, we prove that the CSM is one of the most realistic model on the market.