Rotation vibration interaction in deformed nuclei

Abstract

The rotation vibration model for deformed nuclei is summarized, various matrix elements are given explicitly and multipole operators are evaluated. The rotation vibration Hamiltonian is diagonalized up to spin 20 and presented in a manner which is independent of the individual nucleus. Energies and wave functions for the various states in the ground state, beta and gamma rotational bands of even deformed nuclei are given in an extensive table. The use of the table is explained in detail. An extensive comparison of the rotation vibration model and the asymmetric rotator model with available experimental data indicates an approximate equivalence of the two theories in explaining the three lowest rotational bands. However, the rotation vibration model appears to have a decided advantage in explaining the few two-phonon vibrations experimentally observed. Small systematic deviations between the rotation vibration model and experiment for the energies of the vibrational bands are interpreted in terms of the Coriolis anti-pairing and blocking effects. These effects lead to lower limits on the pairing correlation energy and the critical spin above which all pairing ceases.