Study On The Method Of Nuclear Shell Correction

Nuclear physics is developing very rapidly in recent decades. Super-heavy nuclei research has already become one of the hot subjects in the research field of present nuclear physics. The shell effect is essential to the super-heavy nuclei, because it can offer the microscopic quantity shell effect which provides a possibility for the super-heavy nuclei to survive. The research on the calculation of the nuclear shell correction energy is of great importance for improving the nuclear theory and for the synthesis of super-heavy nuclei.In this thesis, we first review some nuclear structure models briefly. The single particle energy level which is necessary for the calculation of the shell correction is introduced briefly. Using the realistic Woods-Saxon single-particle potential, we calculate the simple particle energy level of some spherical and axially deformed nuclei. The method of the shell correction which is proposed by Strutinsky based on the macroscopic-microscopic model is introduced in detail. The expressions in the Strutinsky shell correction method have been checked. In this work, we study the influence of the width parameters on the shell energy when the order p=6 of the Gauss-Hermite polynomials is fixed. The influence of the Woods-Saxon potential parameters, i.e. the potential depth V0, the radius R and the surface diffuseness a, on the shell energy is also investigated. The calculation shows that the shell correction is relatively more sensitive to the parameter R by comparing the corresponding shell correction energy of the four magic nuclei from light to heavy. The Strutinsky shell correction method plays an important role in the nuclear mass calculation based on macroscopic-microscopic method, and in the description of the nucleus ground state properties of super-heavy nucleus. Finally, we study the nuclear ground state deformation, shape coexistence and the nuclear mass formula by applying the macroscopic-microscopic method. By investigating the validity of the Strutinsky shell correction method, we found that the method is successful in general.