Research On Neutron-Rich Nuclei Using A Particle-Number Conserving Method Based On Cranked Shell Model

In recent years,due to the extensive application of radioactive detecting devices in nuclear experiments,it makes possible to study the structure of neutron-rich nuclei far from the ?-stability line.In addition,the property of the neutron-rich nuclei under extreme conditions plays a very important role in Nuclear Astrophysics.We apply the cranked shell model(CSM)with the pairing correlations treated by the particle number conserving(PNC)method to study Hafnium isotope and high-K isomeric structures.In the CSM-PNC,the multi-quasiparticle rorational bands in Hf isotope are investigated systematically.A special focus is put on the kinematic moments of inertia(MOIs)and the bandhead energy values.By analyzing the cranking frequency dependence of the occupation probability of each cranked Nilsson orbital near the Fermi surface and the contributions from high-j orbitals in each major shell to the kinematic moments of inertia,the backbending mechanism is explained clearly.Besides,the relative even-odd differences of the bandhead moments of inertia in Hf isotope are calculated briefly,which exist greatly large scale fluctuations,and this is in accord with experiments.Namely,?J/J depends sensitively on the Nilsson level location of the blocked orbital in the odd-N nuclei.When high-j and low ? intruder obital near the Fermi surface is blocked,?J/J is very large.A good agreement between the CSM-PNC calculations for Hafnium isotope nuclei and experiments displays that the CSM-PNC method can discribe the neutron-rich nuclei well,which makes people further know about the property of the neutron-rich nuclei and extends vastly the application field of the CSM-PNC theories in the nuclear structure study.