论文标题
通过神经网络对N = Z SD-shell核的有效相互作用的改进研究
Improvement Studies of an Effective Interaction for N=Z sd-shell Nuclei by Neural Networks
论文作者
论文摘要
核壳模型是对核结构的理论理解的成功模型之一。如果在核子之间发现方便的有效相互作用，则该模型准确地预测了各种可观察到的核态能量。壳模型计算的基本要求是一组单个粒子能量和两体相互作用矩阵元件（TBME），它们构建了核子之间的残余相互作用。后者可以通过不同的方式进行参数化。在这项研究中，我们使用了另一种方法来改善A = 16-40区域N = Z核的壳模型计算的现有USD型汉密尔顿人。在获得SDNN新的有效相互作用后，已经对SD壳中的所有N = Z核进行了壳模型计算。其中，$^{16} {o} $ doubly魔法核已被假定为惰性核心，而活动粒子则分布在$ d_ {5/2} $，$ s_ {1/2} $和$ d_ {3/2} $单粒子orbits中。对于新生成的有效相互作用的RMS偏差比使用原始核获得的有效相互作用较低。
The nuclear shell model is one of the successful models in theoretical understanding of nuclear structure. If a convenient effective interaction can be found between nucleons, various observables such as energies of nuclear states are accurately predicted by this model. The basic requirements for the shell model calculations are a set of single particle energies and two-body interaction matrix elements (TBME) which construct the residual interaction between nucleons. This latter could be parameterized in different ways. In this study, we have used a different approach to improve existing USD type Hamiltonians for the shell model calculations of N=Z nuclei in the A=16-40 region. After obtaining the SDNN new effective interaction, shell model calculations have been performed for all N=Z nuclei in sd shell. In which, $^{16}{O}$ doubly magic nucleus has been assumed as an inert core and active particles are distributed in the $d_{5/2}$, $s_{1/2}$ and $d_{3/2}$ single particle orbits. The rms deviations from experimental energy values are lower for the newly generated effective interaction than those obtained using the original one for the studied nuclei.
