Appearance of a peak in the symmetry energy at 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math>
 for the Pb isotopic chain within the relativistic energy density functional approach

Pattnaik, Jeet Amrit; Majekodunmi, Joshua T.; Kumar, Ankit; Bhuyan, M.; Patra, S. K.

doi:10.1103/physrevc.105.014318

Cited by 9 publications

(1 citation statement)

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“…[9]. We therefore employ the effective theory motivated relativistic energy density functional (E-RMF) which has been recently shown [54] to resolve the Coester band problem [55][56][57]. Here, we have shown the calculations of symmetry energy S A for the ground states of Hg-isotopic series with NL3 set [24] as a representative case.…”

Section: Symmetry Energy and Its Shiftmentioning

confidence: 99%

Isotopic Shift in Hg-Isotopes within Brückner versus Relativistic Energy Density Functional

et al. 2022

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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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