标题： 转移超重核素的结构特性及$α$衰变链（101$\leq$Z$\leq$110） 显示英文标题

标题： Structural Properties and $α$-Decay Chains of Transfermium Nuclei (101$\leq$Z$\leq$110)

摘要： 转移超重核（101$\leq$Z$\leq$110）被深入研究以描述结构特性，如变形、半径、形状、幻数等，以及它们可能的衰变链。这些特性通过相对论平均场（RMF）方法进行探索，并与其他理论以及现有的实验数据进行比较。中子数 N$=$152 和 162 出现了变形壳层间隙，而 N$=$184 被确认为一个球形幻数。中子数 N$>$168 的区域见证了所有考虑的同位素链的形状转变和形状共存现象。实验测得的$\alpha$-衰变半衰期与我们使用各种经验/半经验公式得到的理论半衰期进行了比较。 最近由Manjunatha提出的公式\textit{等.}，在所考虑的10个公式中效果最佳，通过添加依赖于不对称性的项（$I$和$I^2$）进行了进一步修改。 此修改后的Manjunatha公式被用于预测可能的$\alpha$-衰变链，其结果与现有实验数据高度一致。 显示英文摘要

摘要： Transfermium nuclei (101$\leq$Z$\leq$110) are investigated thoroughly to describe structural properties viz. deformation, radii, shapes, magicity, etc. as well as their probable decay chains. These properties are explored using relativistic mean-field (RMF) approach and compared with other theories along with available experimental data. Neutron numbers N$=$152 and 162 have come forth with a deformed shell gap whereas N$=$184 is ensured as a spherical magic number. The region with N$>$168 bears witness of the phenomenon of shape transition and shape coexistence for all the considered isotopic chains. Experimental $\alpha$-decay half-lives are compared with our theoretical half-lives obtained by using various empirical/semi-empirical formulas. The recent formula proposed by Manjunatha \textit{et al.}, which results best among the considered 10 formulas, is further modified by adding asymmetry dependent terms ($I$ and $I^2$). This modified Manjunatha formula is utilized to predict probable $\alpha$-decay chains that are found in excellent agreement with available experimental data.