The Nuclear Shell Model And Its Application To The Nuclear High-spin States

The Nuclear Shell Model(NSM) is one of the most important nuclear models. Qualitative and quantitative studies on atomic nucleuses by using the shell model have yielded many brilliant achievements since the beginning of nuclear physics, which have intensified our knowledge and understanding of nuclear structures. Early applications of the shell model were restricted to quantitative interpretations of magic nuclei, because of the many-body nature of nuclei which involves many variables and requires high-speed and -capacity computers. Recent advances in computer technology and computational physics have made it possible to calculate some multidimensional physics problems. Moreover, with the development of nuclear science and technology, especially with the improvement of measurement, high spin states of some nucleuses have been revealed, deepening our knowledge of the nuclear structures. Meanwhile, these progresses also present new challenges to nuclear theories.This thesis reviews the development of the nuclear shell model and discusses its modern applications. The computational scheme of the shell model involves the residual interaction between nucleons ,and its physical and mathematical treatments are introduced. It is contributed to the application of algebraic dynamics on the shell model.It is one of the most important contents to analyze the energy level structure in the nuclear physics. At present the high-spin state of the odd-A nuclear ¹⁴³Pm(Z=61,N=82) have been investigated by using heavy-ion beam reaction - the level scheme with excitation energy up to 8.4 MeV and spin with J=(47/2)(h). This paper, according to the principle of the nuclear shell model and experiment information , analyzes the ¹⁴³Pm nuclear structure : to compare to the difference of 2 interaction potentials and to the weak-coupling model(WCM) result, especially explore the sequences ofγ-ray transitions ,which depend to the corresponding dominant configuration. Detailed calculations of the level energy and transition probability of ¹⁴³Pm are also presented. The program OXBASH code is adopted.The work is useful to the many-body theory and calculation of nuclear physics.