The Ground State Occupation Probabilities Of Valence Nucleon Pairs With Various Angular Momenta For Well-deformed Even-Even Nuclei In The Nilsson Mean-field Plus Nearest-Orbit Pairing Model

By using the exactly solvable Nilsson mean-filed plus nearest-orbit pairing model, the binding energies and even-odd mass differences of nuclei150-162Gd,142-150Ce,152-168Dy,146-156Nd,148-158Sm are calculated with both proton and neutron pairing interactions, and com-pared with the corresponding experimental values. In comparison with the experimental data, the binding energies and even-odd mass differences of nuclei150-162Gd,142-150Ce,152-168Dy,146-156Nd,148-158Sm are well described by the model with reasonable deviations. Moreover, the ground state occupation probabilities of valence nucleon pairs for various angular momenta for even-even150-162Gd are calculated. In this model, interactions of protons with neutrons are neglected. It is shown that the occupation probabilities of even angular momenta are much higher than those of odd angular momenta. The model results clearly follow the conclusion that S, D, G valence nucleon pairs dominate in the ground state of these nuclei. Our work is the start point for evaluation of other quantities in the model.