Research On Nuclear Structure Of Exotic Nucleus By Particle-Number Conserving Method

In recent years,with the development of experimental methods and detection technologies,many large scientific devices for nuclear physics have been reconstructed and newly built around the world.The structural properties of exotic nuclei and the generation of rare isotopes have become the hot topics of nuclear physics today.The study of exotic nuclei and rare isotopes has not only enriched people's understanding of the nuclear system,but also brought opportunities and challenges to the nuclear theory.In this paper,the neutron-deficient nucleus with a mass about 130 and neutron-rich isotope of Hf are taken as the objects,and some microscopic properties of the strange nuclear structure are studied.In this paper,the particle number conservation method(PNC-CSM)for processing pairing forces under the cranked shell model is used to calculate the ¹³⁸Gd,¹³⁶Sm,and ¹³⁴Nd neutron-deficient even-even nuclei in the A?130 region.The main research content is the first type of moment of inertia and the energy value of the band head.By analyzing the occupation probability of each Nilsson single-particle energy level near the Fermi surface in the nucleus rotation band,and the contribution of each proton and neutron energy level,especially the high-j intrusion energy level,to the moment of inertia,the nuclear mechanisms of back bending of the ground state and high-K isomeric states of inertia has been studied very clearly.In this paper,the pair correlation of Hf isotopes is studied in the PNC-CSM framework.By changing the pairing strength to study its influence on the moment of inertia,finds that the neutron moment of inertia back bending frequency and the single-particle energy occupation probability systematically changes with the pairing strength.The reason is that pairing strength will change the occupation probability,so the proportion of the states that contributes to the moment of inertia backbend changes,and band crossing frequency will be affected by other energy levels.