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arXiv 2001.08561nucl-th
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N=Z sd壳层核有效相互作用的神经网络改进研究

Improvement Studies of an Effective Interaction for N=Z sd-shell Nuclei by Neural Networks

Serkan Akkoyun, Nadjet Laouet, Fatima Benrachi

摘要:

核壳模型是理论上理解原子核结构的成功模型之一。如果核子间存在一种方便的有效相互作用,则该模型可以准确地预测核子态能量等各种观测量。壳模型计算的基本要求是一组单粒子能量和两体相互作用矩阵元(TBME),它们构成了核子之间的剩余相互作用。后者可以以不同的方式参数化。在这项研究中,我们使用了不同的方法来改善现有的USD型哈密顿量的壳模型计算的N=Z核在A=16-40区域。在得到SDNN新的有效相互作用后,对所有N=Z核的sd壳层进行了壳模型计算。其中,假定$^{16}{O}$双幻核为惰性核,活性粒子分布在$d_{5/2}$、$s_{1/2}$和$d_{3/2}$单粒子轨道上.与实验能量值的均方根偏差是较低的新产生的有效相互作用比那些使用原来的研究核。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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