K = 1, 2, 3 octupole vibrations

Applying the Bohr-Mottelson hydrodynamic model, we develop and solve a coupled Schrodinger equation yielding the K = 1, 2, 3 octupole vibrations in deformed even nuclei (the K = 0 state is obtained trivially). For higher states, K does not appear to be a good quantum number. We assume the simple rotation-vibration picture in the adiabatic approximation and neglect quadrupole-octupole coupling. The model does not fix the energies; it permits any order among the K = 1, 2, 3 states.