Bohr Hamiltonian and the energy spectra of the triaxial nuclei

. A Bohr Hamiltonian, with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the -part and a harmonic oscillator centered around for the -part, which can be approximately separated, has been solved for the -part and -part. The part related to the collective -variable has been chosen in such a way that the model describes the triaxial nuclei. The eigenfunctions and eigenvalues of the energy have been obtained. An analytical expression for the total energy spectra is given.