Cause of the charge radius isotope shift at the<i>N</i>=126 shell gap

Goddard, P.; Stevenson, P. D.; Rios, Arnau

doi:10.1051/epjconf/20146602042

Cited by 5 publications

(12 citation statements)

References 10 publications

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“…Intuitively (for example, by using liquid drop model concepts), the occupation of the neutron 2g 9/2 orbital would bring a larger proton radius as compared with the occupation of the 1i 11/2 orbital. However, the DFT calculations showed an opposite trend [5,6] the deep microscopic origin of which has been found only in Ref. [6].…”

Section: Introductionmentioning

confidence: 76%

“…However, the DFT calculations showed an opposite trend [5,6] the deep microscopic origin of which has been found only in Ref. [6]. It is traced back to a nodal structure 1 of these two orbitals (n = 1 for 1i 11/2 and n = 2 for 2g 9/2 , where n stands for principal quantum number; see also Fig.…”

Section: Introductionmentioning

confidence: 79%

“…In all other functionals, the gap between the 2g 9/2 and 1i 11/2 subshells is smaller (see Fig. 5(b)) but still the occupation of the 1i 11/2 subshell is favored 6 . Thus, as compared with the DD-MEδ functional the difference in the occupation of these orbitals becomes smaller [see Fig.…”

Section: Cedfmentioning

confidence: 92%

“…However, as discussed in the introduction and in Ref. [6] the real impact of the occupation of these orbitals on the charge radii will be defined by the pull they exert on proton densities.…”

Section: Cedfmentioning

confidence: 99%

“…The most investigated case here is the kink in charge radii at N = 126 and the evolution of charge radii above N = 126 in the Pb isotopic chain. The pattern of these effects critically depends on the occupation of the 2g 9/2 and 1i 11/2 orbitals, on their relative energies, and on how close they are in energy [5,6]. Both in relativistic and non-relativistic density functional theories (DFT), the single-particle rms neutron radius of the 2g 9/2 orbital is larger than that of the 1i 11/2 orbital (by ≈ 0.6 fm [see Table II below] and ≈ 1.0 fm [see Ref.…”

Section: Introductionmentioning

confidence: 99%

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Charge radii in covariant density functional theory: a global view

Perera,

Afanasjev,

Ring

2021

Preprint

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A systematic global investigation of differential charge radii has been performed within the CDFT framework for the first time. Theoretical results obtained with conventional covariant energy density functionals and separable pairing interaction of Ref.[1] are compared with experimental differential charge radii in the regions of the nuclear chart in which available experimental data crosses neutron shell closures at N = 28, 50, 82 and 126. The analysis of absolute differential radii of different isotopic chains and their relative properties indicate clearly that such properties are reasonably well described in model calculations in the cases when the mean-field approximation is justified. However, while the observed clusterization of differential charge radii of different isotopic chains is well described above the N = 50 and N = 126 shell closures, it is more difficult to reproduce it above the N = 28 and N = 82 shell closures because of possible deficiencies in underlying single-particle structure. The impact of the latter has been evaluated for spherical shapes and it was shown that the relative energies of the single-particle states and the patterns of their occupation with increasing neutron number have an appreciable impact on the evolution of the δ r 2 N,N values. These factors also limit the predictive power of model calculations in the regions of high densities of the single-particle states of different origin. It is shown that the kinks in the charge radii at neutron shell closures are due to the underlying single-particle structure and due to weakening or collapse of pairing at these closures. The regions of the nuclear chart in which the correlations beyond mean-field are expected to have an impact on charge radii are indicated; the analysis shows that the assignment of a calculated excited prolate minimum to the experimental ground state allows to understand the trends of the evolution of differential charge radii with neutron number in many cases of shape coexistence even at the mean-field level. It is usually assumed that pairing is a dominant contributor to odd-even staggering (OES) in charge radii. Our analysis paints a more complicated picture. It suggests a new mechanism in which the fragmentation of the single-particle content of the ground state in odd-mass nuclei due to particle-vibration coupling provides a significant contribution to OES in charge radii.

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 79%

Section: Cedfmentioning

confidence: 92%

Section: Cedfmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Charge radii in covariant density functional theory: a global view

Perera,

Afanasjev,

Ring

2021

Preprint

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Isotopic shift in magic nuclei within relativistic mean-field formalism

et al. 2021

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The ground-state properties such as binding energy, root-mean-square radius, pairing energy, nucleons density distribution, symmetry energy, and single-particle energies are calculated for the isotopic chain of Ca, Sn, Pb, and Z = 120 nuclei. The recently developed G3 and IOPB-I forces along with the DD-ME1 and DD-ME2 sets are used in the analysis employing the relativistic mean-field approximation. To locate the magic numbers in the superheavy region and to explain the observed kink at neutron number N = 82 for Sn isotopes, a three-point formula is used to see the shift of the observable and other nuclear properties in the isotopic chain. Unlike the electronic configuration, due to strong spin-orbit interaction, the higher spin orbitals are occupied earlier than the lower spin, causing the possible kink at the neutron magic numbers. We find peaks at the known neutron magic number with the confirmation of sub-shell, shell closure respectively at N = 40, 184 for Ca and 304120.

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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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Cause of the charge radius isotope shift at theN=126 shell gap

Cited by 5 publications

References 10 publications

Charge radii in covariant density functional theory: a global view

Charge radii in covariant density functional theory: a global view

Isotopic shift in magic nuclei within relativistic mean-field formalism

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

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