The salient features of charge density distributions of medium and heavy even-even nuclei determined from a systematic analysis of elastic electron scattering form factors

Friedrich, J.; Voegler, N.

doi:10.1016/0375-9474(82)90147-6

Cited by 152 publications

(84 citation statements)

References 28 publications

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“…However, the effect at N = 20 is completely washed out, in agreement with the result of Ref. [67]. The mean-field charge densities of 36 Ca, 56 Ca, and 70 Ca calculated with G2, along with the equivalent Helm profiles, are displayed in the upper panel of Fig.…”

Section: B Tin and Calcium Isotopic Chainssupporting

confidence: 88%

Theoretical study of elastic electron scattering off stable and exotic nuclei

et al. 2008

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Results for elastic electron scattering by nuclei, calculated with charge densities of Skyrme forces and covariant effective Lagrangians that accurately describe nuclear ground states, are compared against experiment in stable isotopes. Dirac partial-wave calculations are performed with an adapted version of the ELSEPA package. Motivated by the fact that studies of electron scattering off exotic nuclei are intended in future facilities in the commissioned GSI and RIKEN upgrades, we survey the theoretical predictions from neutron-deficient to neutron-rich isotopes in the tin and calcium isotopic chains. The charge densities of a covariant interaction that describes the low-energy electromagnetic structure of the nucleon within the Lagrangian of the theory are used to this end. The study is restricted to medium-and heavy-mass nuclei because the charge densities are computed in mean-field approach. Because the experimental analysis of scattering data commonly involves parameterized charge densities, as a surrogate exercise for the yet unexplored exotic nuclei, we fit our calculated mean-field densities with Helm model distributions. This procedure turns out to be helpful to study the neutron-number variation of the scattering observables and allows us to identify correlations of potential interest among some of these observables within the isotopic chains.

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Section: B Tin and Calcium Isotopic Chainssupporting

confidence: 88%

Theoretical study of elastic electron scattering off stable and exotic nuclei

et al. 2008

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“…The original version of the Helm model [49] has been extended in various ways for a more accurate description of the experimental charge densities [62][63][64]. In the simplest version of the model [49], the charge density is obtained from the convolution of a constant density ρ 0 in a hard sphere of radius R 0 with a Gaussian distribution having variance σ 2 .…”

Section: A Equivalent Helm Charge Densitiesmentioning

confidence: 99%

Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

et al. 2013

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Electron scattering on unstable nuclei is planned in future facilities of the GSI and RIKEN upgrades. Motivated by this fact, we study theoretical predictions for elastic electron scattering in the N = 82, N = 50, and N = 14 isotonic chains from very proton-deficient to very proton-rich isotones. We compute the scattering observables by performing Dirac partial-wave calculations. The charge density of the nucleus is obtained with a covariant nuclear mean-field model that accounts for the low-energy electromagnetic structure of the nucleon. For the discussion of the dependence of scattering observables at low-momentum transfer on the gross properties of the charge density, we fit Helm model distributions to the self-consistent mean-field densities. We find that the changes shown by the electric charge form factor along each isotonic chain are strongly correlated with the underlying proton shell structure of the isotones. We conclude that elastic electron scattering experiments on isotones can provide valuable information about the filling order and occupation of the single-particle levels of protons.

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“…But as already noticed [20], the rms radii (second moments of the densities) provide a very limited description of the nucleon density distributions. A more effective tool to analyze skins [20,34] is the Helm model [32,33]. This is a model that allows one to extract from the form factor in a simple way the two main characteristics of the density: a diffraction radius and a surface thickness.…”

Section: B Form Factors and Diffraction Parametersmentioning

confidence: 99%

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

et al. 2007

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A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data, as well as with other theoretical predictions. The formation of a neutron skin, which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution, is analyzed in terms of various definitions. Formation of a proton skin is shown to be unlikely. The effects of deformation on the neutron skins in even-even deformed nuclei far from the stability line are discussed.

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The salient features of charge density distributions of medium and heavy even-even nuclei determined from a systematic analysis of elastic electron scattering form factors

Cited by 152 publications

References 28 publications

Theoretical study of elastic electron scattering off stable and exotic nuclei

Theoretical study of elastic electron scattering off stable and exotic nuclei

Electron scattering in isotonic chains as a probe of the proton shell structure of unstable nuclei

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

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