Solvable Special Non-separable Pairing Model And Its Application To ^41-51Ca

It is well known that short-range correlations among nucleons in nuclei are of im-portance.The standard pairing is often adopted in elucidating pairing phenomena in nucle-ar physics due to its simplicity.Though the standard pairing model can be used to describe ground-state properties and even-odd mass phenomena of nuclei quite well,there are obvious deviations in pairing excitation energies in comparison to the corresponding experimental data.Therefore,it is of practical significance to investigate orbital-dependent pairing interaction in the shell-model mean-field framework and its applications to realistic nuclear systems.In this thesis,the solvable special non-separable pairing model with four non-degenerate5)-orbits is used to describe binding energies and the odd-even mass differences,the two-neutron separation energies and their odd-even differences,and the pairing excitation energies of^41-51Ca.The fitting results are compared with those of the shell-model mean-field plus standard pairing model and the corresponding experimental data.It is shown that the special non-separable pairing model not only well fits to the bind-ing energies and the odd-even mass differences,the two-neutron separation energies and their odd-even differences,but also provides with better fitting results than those of the mean-field plus standard pairing model in the pairing excitation energies of^41-51Ca.Therefore,it can be concluded that the special non-separable pairing model is better in describing^41-51Ca.