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在Woods-Saxon基下,用现实核力CD-Bonn势计算了壳模型的有效相互作用.CD-Bonn势中的硬芯通过能量无关的重整化方法V_(lowk)处理,重整化之后的核力能够让体系表现出更好的微扰性并且能够保证两自由核子的低能散射相移不变.同时,本文使用了扩展的Krenciglowa-Kuo迭代方法计算壳模型的有效相互作用,这种方法能够有效地处理非简并模型空间的多体关联,使得壳模型计算能够在较小的模型空间下给出体系的低激发态信息.分别在谐振子基和Woods-Saxon基矢下构建sd区的有效相互作用,其中在Woods-Saxon基的计算中,连续态的贡献通过多体微扰方法包含在有效相互作用中.通过对氧同位素的低激发态的计算,比较了谐振子和Woods-Saxon单粒子基在原子核壳模型计算中的优劣,并通过对两种单粒子基下核子分布的分析研究了非束缚态对原子核结构的影响.
Under the Woods-Saxon basis, the effective interaction of the shell model was calculated using the real nuclear CD-Bonn potential. The hard core in the CD-Bonn potential was treated by the energy-independent renormalization method V_ (lowk) Of the nuclear force can make the system show better perturbation and can guarantee the low-energy scattering two free nuclei shift the phase shift.At the same time, this article uses an extended Krenciglowa-Kuo iterative method to calculate the effective interaction of the shell model, this The method can effectively deal with multi-body association in non-degenerate model space, so that the shell model calculation can give low-excited-state information of the system in a smaller model space.On the basis of harmonic oscillator basis and Woods-Saxon basis vector, Region in the Woods-Saxon basis, the contribution of the continuous state is contained in the effective interaction by the multi-body perturbation method.Comparing the harmonic oscillator and Woods -Saxon single-particle basis in the calculation of atomic shell model, and through the analysis of the two single-particle based on the nuclear distribution of non-bound state on the nuclear structure.