Bohr Hamiltonian and the energy spectra of the triaxial nuclei

摘要

A Bohr Hamiltonian, with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the beta-part and a harmonic oscillator centered around gamma = pi/6 for the gamma-part, which can be approximately separated, has been solved for the beta-part and gamma-part. The part related to the collective gamma-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.