A generalized Helm model for nuclear charge densities

Sprung, D. W. L.; Yamanishi, Naoko; Zheng, D. C.

doi:10.1016/0375-9474(92)91133-a

Cited by 9 publications

(3 citation statements)

References 22 publications

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“…A powerful tool that allows a more detailed description is the Helm model, introduced in the context of electron scattering experiments [56][57][58]. In this model, the diffraction radius and surface thickness extracted from the density form factor are mainly sensitive to the nucleonic distribution in the surface region, and they are practically independent of shell fluctuations in the nuclear interior [59][60][61][62][63]. The robustness of the Helm model parameters, and their simple geometric interpretation, make this model a very attractive tool when characterizing density distributions.…”

Section: Introductionmentioning

confidence: 99%

Nuclear skins and halos in the mean-field theory

et al. 2000

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Nuclei with large neutron-to-proton ratios have neutron skins, which manifest themselves in an excess of neutrons at distances greater than the radius of the proton distribution. In addition, some drip-line nuclei develop very extended halo structures. The neutron halo is a threshold effect; it appears when the valence neutrons occupy weakly bound orbits. In this study, nuclear skins and halos are analyzed within the selfconsistent Skyrme-Hartree-Fock-Bogoliubov and relativistic Hartree-Bogoliubov theories for spherical shapes. It is demonstrated that skins, halos, and surface thickness can be analyzed in a model-independent way in terms of nucleonic density form factors. Such an analysis allows for defining a quantitative measure of the halo size. The systematic behavior of skins, halos, and surface thickness in even-even nuclei is discussed.

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Section: Introductionmentioning

confidence: 99%

Nuclear skins and halos in the mean-field theory

et al. 2000

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“…Besides the 2pF model, parity-violating electron scattering off nuclei are also investigated with the Helm model for its good analytical properties. The Helm model density distribution is defined as the convolution of a constant density ρ 0 in a hard sphere of radius R 0 (the diffraction radius) with a Gaussian distribution of variance σ 2 [37]:…”

Section: Contrast Analysis On Pvs Using the 2pf And Helm Modelmentioning

confidence: 99%

Theoretical study on neutron distribution of ²⁰⁸ Pb by parity-violating electron scattering

et al. 2016

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The precise determination of neutron distribution has important implications for both nuclear structure and nuclear astrophysics. The purpose of this paper is to study the characteristics of neutron distribution of 208Pb by parity-violating electron scattering (PVS). Parity-violating asymmetries of 208Pb with different types of neutron skins are systematically calculated and compared with the experimental data of PREx. The results indicate that the PVS experiments are very sensitive to the nuclear neutron distributions. From further PVS measurements, detailed information on nuclear neutron distributions can be extracted.

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“…For the spherical density distribution ρ(r), the form factor is also spherical and can be expressed in the standard way as F (q) = j 0 (qr)ρ(r)r 2 dr. Good approximation to typical nuclear form factors is given by the Helm model [25][26][27][28][29][30], where nucleonic density is approximated by a convolution of a sharp-surface density of radius R 0 with a Gaussian smoothing profile, i.e,…”

Section: Pairing Gaps Separation Energies and Halosmentioning

confidence: 99%

Pairing interaction and self-consistent densities in neutron-rich nuclei

2001

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Particle and pairing densities in spherical even-even neutron-rich nuclei are studied within the Skyrme-Hartree-Fock-Bogoliubov approach with the density-dependent pairing interaction. The influence of the density dependence of the pairing interaction on asymptotic properties of nucleonic distributions are analyzed. It is demonstrated that the size of the neutron halo dramatically depends on the behavior of the pairing interaction at low density.

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A generalized Helm model for nuclear charge densities

Cited by 9 publications

References 22 publications

Nuclear skins and halos in the mean-field theory

Nuclear skins and halos in the mean-field theory

Theoretical study on neutron distribution of ²⁰⁸ Pb by parity-violating electron scattering

Pairing interaction and self-consistent densities in neutron-rich nuclei

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A generalized Helm model for nuclear charge densities

Cited by 9 publications

References 22 publications

Nuclear skins and halos in the mean-field theory

Nuclear skins and halos in the mean-field theory

Theoretical study on neutron distribution of 208 Pb by parity-violating electron scattering

Pairing interaction and self-consistent densities in neutron-rich nuclei

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Theoretical study on neutron distribution of ²⁰⁸ Pb by parity-violating electron scattering