论文标题

探索核中核中核心的基态体积和衰减特性

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

论文作者

Jain, Nishu, Kumar, Raj, Bhuyan, M.

论文摘要

$α$ -DECAY半衰期的204个超核Nuclei覆盖范围的$ 114 \ leq Z \ leq 126 $已使用NL3 $^*$参数集的相对论均值场模型(RMF)进行了研究。分析了这些核的基态体积特性,例如结合能,四极变形参数($β_2$)和根平方电荷半径。四种不同的半经验公式,即通用衰减定律(UDL),中提琴 - 塞堡(VSS)公式,修改后的通用衰变定律(MUDL)和修改后的棕色配方(Mbrown),用于获得$α$ -Decay $α$ -decay的半衰期。为了检查NL3 $^*$参数化中相对论均值场模型的适用性,$α$ -DECAY ENURGIES以及在102 $ \ LEQ $ \ leq $ Z $ \ Z $ \ leq $ 118范围内的少数已知超重核的半衰期进行了计算,并将结果与​​实验数据进行了比较。 $α$ -DECAY ENERGIES($ Q $ - 值)是从父母的绑定能量中估计的,而女儿则从RMF(NL3 $^*$)参数集中估算出来。将计算的结果与宏观微观有限范围 - 滴滴模型(FRDM),全球核质量模型(WS3,WS4),Weizsacker-Skyrme质量模型(WS $^*$)预测以及实验数据(无论涉及)。还可以估计可能的标准偏差,以实验和各种理论预测。我们发现衰减能量和相应的半衰期的实验到UDL,FRDM-to-udl和WS4-to-udl估计值有很好的一致性。目前的分析为超汗区域的即将进行的实验提供了显微镜模型中的理论预测。

The $α$-decay half-lives of 204 superheavy nuclei covering the range $114 \leq Z \leq 126$ have been investigated using the relativistic mean-field model (RMF) for NL3$^*$ parameter set. The ground state bulk properties such as binding energy, quadrupole deformation parameter ($β_2$ ), and root-mean-square charge radii for these nuclei are analyzed. Four different semi-empirical formulae, namely, the universal decay law (UDL), the Viola-Seaborg (VSS) formula, the modified universal decay law (MUDL), and the modified Brown formula (MBrown), are used to obtain the $α$-decay half-lives for the considered nuclei. To examine the applicability of relativistic mean-field model within NL3$^*$ parametrization, the $α$-decay energies, and the half-lives of a few known superheavy nuclei within the range 102 $\leq$ Z $\leq$ 118 are calculated and the results are compared with the experimental data along with the theoretical predictions. The $α$-decay energies ($Q$-values) are estimated from the binding energies of the parent, and daughter from the RMF (NL3$^*$) parameter set. The calculated results are compared with macroscopic-microscopic Finite-Range-Droplet-Model (FRDM), Global Nuclear Mass Model (WS3, WS4), Weizsacker-Skyrme mass model (WS$^*$) predictions, and the experimental data, wherever available. The possible standard deviations are also estimated for experimental and various theoretical predictions. We find a good consistency for the experimental-to-UDL, FRDM-to-UDL, and WS4-to-UDL estimates of the decay energy and corresponding half-life. The present analysis provides the theoretical predictions within the microscopic model for the upcoming experiments on the superheavy region.

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