The exotic nuclei are a fertile source of new features of nuclear structure. The evolution of new shell gaps accompanied by quenching of classical magic numbers is one of the marked features in these nuclei. These studies aimed to search and explore such behavior and find major significance on both the experimental and theoretical fronts. Here, we present an inclusive study and significant evidence of the existence of deformed shell closure at the neutron number N = 100 in rare earth Nd, Sm, Gd and Dy nuclei, obtained from the persistence of a peak in the analysis of symmetry energy and its bulk and surface components, over the isotopic chains of these nuclei, within the coherent density fluctuation model (CDFM). The relativistic mean field densities, employing the NL3 and recently developed IOPB-I parameter sets, have been used as an input within CDFM. This result is in excellent agreement with our earlier prediction of deformed magic shell closure at N = 100 in r...

中文翻译：

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稀土原子核在N = 100时的对称能和变形幻数

外来核是核结构新特征的肥沃来源。新壳间隙的演变伴随经典魔术数的淬灭是这些核的显着特征之一。这些研究旨在搜索和探索这种行为，并在实验和理论方面都具有重要意义。在这里，我们提出了一项包容性研究，并提供了重要证据，表明稀土Nd，Sm，Gd和Dy原子核中子数N = 100时存在变形的壳闭合，这是通过分析对称能和在相干密度波动模型（CDFM）内，这些核的同位素链上的碳原子的体积和表面成分。相对论平均场密度，采用NL3和最近开发的IOPB-I参数集，已用作CDFM中的输入。该结果与我们先前对R = N = 100时变形的魔壳闭合的早期预测非常吻合。