Phenomenological description of three interacting collective bands

We propose a boson model for the description of the three major collective bands of nuclei on the basis of the coherent boson representation. Applications to the nuclei ¹⁹⁰Pt, ¹⁹²Pt, ²³⁸Th and ¹⁵⁶Dy indicate that the model is able to reproduce experimental energies in both rotational and vibrational regimes. Quadrupole transitions are investigated for the case of the Pt isotopes assuming a quadrupole operator of an anharmonic structure.