Nuclear Structure Properties In Hafnium Isotopes And Nuclei Along The ?-stable Line

This thesis presents the studies of yrast structure in even-even Hf isotopes and the evolution of structural properties along the ?-stable line under the macroscopic-microscopic frameworks based on the pairing-deformation self-consistent Woods-Saxon-Strutinsky calculations(e.g.,the total-Routhian-surface method).The main contents include two parts:Firstly,the yrast-state properties of the even-even Hf isotopes,which mainly includes the quadrupole deformation,moment of inertia and collective motion mode has been investigated systematically.Secondly,according to the empirical formula of the ?-stable line,the structural properties of the even-even nuclei located on this line have been studied.Yrast structure in even-even hafnium isotopes:In the mass region of 150 ? A? 190,nuclei exhibit typically collective properties.Firstly,we have researched the empirical R4/2 and the P-factor of even-even 156-184Hf nuclei.It is known that the most of the even-even Hf isotopes have good rotational and collective properties,which provide the possibility to study the moment of inertia and the aligned angular momentum along the yrast line.Secondly,we examined the influence of different Woods-Saxon potential parameters on quadrupole deformation and found that the deformation parameters are model-dependent to some extent.The calculated results indicate that the equilibrium deformations are model-and parameter-dependent in some degree.Based on deformation Routhian curves at different rotational frequencies,the shape instability and softness are evaluated and/or predicted in detail.What's more,when we investigate the moment of inertia and the aligned angular momentum,surprisingly,it is found that the reason of the simultaneous rise in neutron and proton aligned angular momenta might be a shape jump rather than the traditional physics scenario of the competition between the neutron and proton alignments.Taking the three isotopes 176Hf,178Hf and 180Hf as examples,more detailed analysis and research on different configurations have been carried out as well.Finally,taking this isotopic chain as a carrier,a further extended E-GOS curve is given by including the first-order rotation-vibration interaction.Compared with the previously developed centipedelike E-GOS curve,the developed E-GOS curve shows an apparent improvement in the predictive power of motion evolution.The evolution of structural properties along the ?-stable line:Since the nuclei along the ?-stable line are not easy to decay,these nuclei usually have a relatively long life-time.It may be interesting to well understand and reveal the structural properties,especially for unknown nuclei along the?-stable line.Based on the semi-empirical formulas of the ?-stable line,from Z = 2 to 118,59 even-even nuclei located on such stability line have been analyzed.The combination of ?-stable line and P-factor allows the study of the stable nuclear regions and provides a reference for nuclear thathas not yet been discovered experimentally.The comparison of the quadrupole deformation between theory and experimental values shows that the quadrupole deformation in the lighter mass area is quite different from the experimental value,while the ratio of the quadrupole deformation in the medium and heavy mass area is quite good,indicating the scope of application of our theoretical model.We also show the half-lives of all the even-even isotopes of 50 ?A?118 nuclei based on the ?-stable nuclei,and find that there is a fairly regular pattern.At the same time,combined with the ?-stable line,we investigate the systematic property of the two-proton and two-neutron separation energies related to the nuclear stability.A regular and interesting law is revealed and an emperical formula is fitted based on the least-square method.