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

A comparison between the analytical wavefunction of the confined beta-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 beta-band of the nuclei Nd-150,Nd-152. 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 Nd-150 the relative stretching is about 0.025/(h) over bar, whereas the rotational nucleus Nd-152 with a much stiffer potential in the quadrupole deformation parameter beta stretches with approximately 0.01/(h) over bar. The centroids of the wavefunctions almost exactly coincide in the two models for the ground-state band and also for the beta-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.