Comparison of the confined β-soft rotor model and a microscopic collective Hamiltonian based on the relativistic mean field model in 150, 152Nd

Abstract

A comparison between the analytical wavefunction of the confined β-soft rotor model and a collective Hamiltonian based on the relativistic mean field model has been performed for the low lying states in the ground-state band and β-band of the nuclei 150, 152Nd. A remarkable similarity of the two models in energies, intra- and inter-band B(E2)-values and centrifugal stretching has been observed. In the transitional nucleus 150Nd the relative stretching is about 0.025/ℏ, whereas the rotational nucleus 152Nd with a much stiffer potential in the quadrupole deformation parameter β stretches with approximately 0.01/ℏ. The centroids of the wavefunctions almost exactly coincide in the two models for the ground-state band and also for the β-band. The Ansatz in the CBS model of an outer potential wall that stays almost constant with increasing number of valence neutrons and an inner wall that shifts to higher deformations has been successfully justified microscopically.