Isotopic dependence of the nuclear charge radii and binding energies in the relativistic Hartree-Fock formalism

Niembro, R.; Marcos, S.; López−Quelle, M.; Savushkin, L. N.

doi:10.1134/s1063778812020159

Cited by 12 publications

(6 citation statements)

References 32 publications

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“…n = 2 states have less marked differences across forces, while the parameterization dependence of the 3s 1/2 state is concentrated on the A < 208 side. The combined contribution of the n = 1 states explains the presence of the kink in the isotope shift [14].…”

Section: Mev Fmmentioning

confidence: 92%

“…Original Skyrme parameterizations were unable to reproduce the isotope shift in lead, whereas RMF parameterizations seemed to be able to do so. Since the early 1990s, the situation has been studied by several authors [10][11][12]14]. Sharma et al [15] and Reinhard and Flocard [12] took the hint that the spin-orbit mean-field resulting from the SHF and RMF approaches has a different isotopic dependence [16].…”

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confidence: 99%

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Charge Radius Isotope Shift Across theN=126Shell Gap

2013

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We revisit the problem of the kink in the charge radius shift of neutron-rich even isotopes near the N = 126 shell closure. We show that the ability of a Skyrme force to reproduce the isotope shift is determined by the occupation of the neutron 1i 11/2 orbital beyond N = 126 and the corresponding change it causes to deeply-bound protons orbitals with a principal quantum number of 1. Given the observed position of the single-particle energies, one must either ensure occupation is allowed through correlations, or not demand that the single-particle energies agree with experimental values at the mean-field level.PACS numbers: 21.10. Ft, 21.60.Jz, 27.80.+w The evolution of charge radii across the isotope chart is one of the most basic nuclear structure observables, as it provides a particularly useful characterisation of the proton distribution that can be accessed by a variety of experiments [1]. We define the charge radius isotope shift as the differences between the mean squared charge radius, r 2 ch , of a series of isotopes and that of a given reference isotope (208 Pb for lead and 210 Po for polonium). Theoretically, charge radii have been traditionally studied within the droplet model [2], which captures qualitatively their evolution across the nuclear chart. Yet, in some specific cases, quantum shell effects dominate the density distribution and provide a departure from smooth systematic trends. Perhaps the most well-known example of these abrupt changes is the kink in the isotope shift of even lead isotopes as one passes through the N = 126 magic number.A summary of the experimental results [1, 3] around this neutron shell closure is given in Figures 1 and 2 for lead and polonium, respectively. For lead, the fitted solid line is of the form:Linear regression givesi.e. the slope of the shift is observed to double at A = 208 to a very good approximation. This abrupt change in change radius cannot be explained within the droplet model [2]. Recent experimental work using laser spectroscopy techniques have identified a similar kink in neutron-rich polonium isotopes above the Z = 82 shell closure [3] (see also Fig. 2) in agreement with older radon and radium data [4]. Moreover, the details of the changes of proton and neutron radii in isotopes around 208 Pb have also gained renewed interested in the form of the neutron skin, which correlates strongly with nuclear matter properties [5,6]. On the neutron deficient side, the onset of deformation is also probed by measurements of isotope shifts [7]. In this letter, we propose a new mechanism to explain the existence of the kink in lead isotope shifts using density functional calculations supplemented by pairing effects.On the theoretical side, mean-field models, or equivalently density functional theories have been widely applied to the systematic study of all observed and hypothesized nuclear isotopes [8]. Both the Skyrme-HartreeFock (SHF) and the Relativistic Mean-Field (RMF) approaches are able to give broadly good descriptions of many nuclear properties acros...

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Section: Mev Fmmentioning

confidence: 92%

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confidence: 99%

Charge Radius Isotope Shift Across theN=126Shell Gap

2013

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“…This effect can be related to the spin-orbit force [4][5][6][7][8], which naturally appears in the relativistic mean-field model and often explains the kink in the Pb chain [9][10][11][12][13]. Other mechanisms impacting the kink in radii involve nuclear compressibility [14], as well as ground-state correlations [15][16][17] and pairing [18][19][20][21][22]-both increasing the occupation of higher-lying neutron and proton single-particle orbits.…”

mentioning

confidence: 99%

Laser Spectroscopy of Neutron-Rich Tin Isotopes: A Discontinuity in Charge Radii across the N=82 Shell Closure

Gorges¹,

Rodríguez²,

Balabanski³

et al. 2019

Phys. Rev. Lett.

110

117

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“…Aside from considerations about the relevant shape degrees of freedom, this collection of theoretical results allows us to investigate whether there is a systematic difference between the δ r 2 values predicted by relativistic and nonrelativistic EDFs in the region. Many relativistic approaches (although not all [77]) reproduce the "kink" in the radii of the lead isotopes rather well, whereas many traditional nonrelativistic parametrizations are known to be deficient in this respect. This success of the relativistic approach is often attributed to a specificity of its spin-orbit interaction [78].…”

Section: The Parametrizations: Dd-meb2 Bsk31 and Sly5s1mentioning

confidence: 99%