Application Of An Exactly Solvable Pairing Model To Well-deformed Nuclei

The nucleus is made up of protons and neutrons.As a quantum multi-body system,it presents interesting physical phenomena.The study on the structures and properties of atomic nuclei,especially large-deformed nuclear has always been a frontier topic in the field of nuclear physics.The solution of quantum multi-body problems is extremely complicated,and various approximation methods have drawbacks.How to accurately solve the problems of large-deformed nuclei becomes very important.In this paper within the framework of an exact solution of Nilsson mean-field plus a neatest orbit pairing model,considering the proton-proton and neutron interaction,we investigate the properties of large-deformed nuclei in the lanthanide and transitional regions.First the truncation energy is studied to show the important question of convergence,finding the truncation energy of 17 Me V is suitable to describe the moments of inertia in Sm isotope chain.Then for the lanthanide regions,we study the binding energy and the odd-even mass difference,and also the moments of inertia for even-even nuclei and odd-A nuclei by splitting a pair of valence nucleon,and further compare with the experimental value.The results show that Nilsson mean-field plus a neatest orbit pairing model can reasonably describe the properties of large-deformed nuclei in the lanthanide and transitional regions within reasonable errors,manifesting the changes of even and odd nuclei.However,the results of odd-A nucleus need to be improved for odd-A nuclei due to the existence and complexity of unpaired nucleon.Finally,we extend to the Pt isotope chain in transitional region,the results show that this accurately solve pairing model can also describe the binding energy and odd-even mass difference and the moments of inertia of even-even nuclei.It is a meaningful direction in continuing to study the properties of large-deformed nuclei by utilizing our exactly solvable pairing model.