br ckner内hg同位素的同位素位移与相对论能量密度泛函

J. Pattnaik, J. T. Majekodunmi, M. Bhuyan, S. Patra
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引用次数: 1

摘要

利用IOPB-I、DD-ME2、DD-PC1和NL3参数集,在相对论平均场(RMF)方法中揭示了hg同位素链上中子壳闭合N = 126的特征结。通过Wood-Saxon近似将RMF密度转换为其球面等效,并将其用作相干密度波动模型(CDFM)参数化过程中的输入。利用br ckner能量密度函数计算核物质对称能,并在Danielwicz液滴处方中评估其表面和体积分量。此外,还以NL3参数集为代表,比较了br ckner函数与相对论能量密度泛函的关系。用结合能、电荷分布半径和对称能作为基态和同分异构体的同位素位移指标。我们发现富中子206Hg在N = 126处的壳层/子壳层闭合处存在扭结。扭结的形成可以追溯到1111 /2轨道的早期填充,而不是299 /2轨道,因为自旋轨道分裂很大。这样,就建立了占位概率与氢同位素链上原子核的魔力之间的联系。
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Isotopic Shift in Hg-Isotopes within Brückner versus Relativistic Energy Density Functional
The present study is focused on revealing a characteristic kink of the neutron shell closure N = 126 across the Hg-isotopic chain within the relativistic mean-field (RMF) approach with the IOPB-I, DD-ME2, DD-PC1 and NL3 parameter sets. The RMF densities are converted to their spherical equivalence via the Wood–Saxon approximation and used as input within the parametrization procedure of the coherent density fluctuation model (CDFM). The nuclear matter symmetry energy is calculated using the Brückner energy density functional, and its surface, as well as volume components, are evaluated within Danielwicz’s liquid drop prescription. In addition, a comparison between Brückner and relativistic energy density functionals using the NL3 parameter set is shown as a representative case. The binding energy, charge distribution radius and symmetry energy are used as indicators of the isotopic shift in both ground and isomeric states. We have found the presence of a kink at the shell/sub-shell closure at N = 126 for neutron-rich 206Hg. The formation of the kink is traceable to the early filling of the 1i11/2 orbitals rather than 2g9/2, due to the large spin-orbit splitting. As such, the link between the occupational probability and the magicity of nuclei over the Hg-isotopic chain is established.
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