Investigation Of The Exotic Deformed Nuclei By Complex Momentum Representation Combined With Green's Function Method

The research of exotic nuclei has turn into an important frontier field in nuclear physics.In recent years,a number of a new generation of radioactive ion beam facilities have been built around the world in order to provide a wide range of energy and higher intensity radionuclides in experiments,which can reveal more interesting phenome na in nuclear physics.Precise measurements of nuclei far from the?-stability line are possible at present,so the search for experimental results is both urgent and fascinating.In this paper,the CMR-GF method and CMR-GF method are developed by combining the complex momentum representation(CMR)method and Green's fun ction(GF)method in the non-relativistic framework and the relativistic framework,and the exotic structures in nuclei are studied by these methods.Firstly,we can notice the CMR method dealing with the bound states,resonant states and the continuum in a unified manner.However,the resonance parameters determined by CMR method are still not accurate enough for the resonant states near the zero energy planes,which are significantly disturbed by the continuum.Hence,the GF method is introduced in the CMR.We can establish the CMR-GF method to describe deformed nuclei,and we can obtain the continuous level density,denoted as??(E).The continuous level density??(E)can clearly gain the resonance parameters accurately.The method is not only suitable for narrow resonances but also broad resonances,and it does not introduce any physical parameters.Namely,it can overcome all defects that exist in the CMR method.Then,we apply the CMR-GF method to study the h alo structure of deformed nucleus ³⁴Na in the non-relativistic framework.We have calculated the single-particle energies of single-particle resonant state s,and the configuration occupations with their evolutions with deformation?₂.We can clearly see the p-f inversion and d-f inversion,and the traditional magic number N=28 disappears.The available density distributions,the configuration occupations,and the root mean square radius for the orbit occupied by the last valence neutron suggest a p-wave single-neutron halo or skin structure in ³⁴Na.Secondly,in view of the effectiveness and superiority of the CMR-GF method,it is necessary to systematically develop the relativistic version of the CMR-GF method to explore the structures and properties of deformed nuclei.The Dirac equation of nuclear motion is transformed into the complex momentum representation.We will solve the Dirac equation in the complex momentum representation,the bound states,resonant states and the continuum are given naturally,and the resonances close to the zero energy planes can be well handled.We will apply the CMR-GF method to the relativistic framework to describe the exotic structure of deformed nucleus ²⁸F.From the calculated single-particle level structure,widths and the configuration occupations to study the exotic structure of ²⁸F,we infer that the island of inversion around N=20 includes ²⁸F in theory.In order to further understand the influence of the variation of physical quantities in the potential parameters on the level structure,we have studied the relationship between the potential shape of the deformed nuclei and the resonant states.It shows the evolution of resonances of energ ies from stable nuclei to exotic ones with axial deformation.Adopting the CMR-GF method in the relativistic framework is used to investigate the deformed nucleus ²⁸F,and the theoretical results obtained agree well with the experimen tal datum,which proves the accuracy of this method.