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Point-proton density distributions of stable nuclei

  • Tian Yu Wu
  • , Bao Hua Sun*
  • , Hui Hui Xie
  • , Jun Yao Xu
  • , Ge Guo
  • *Corresponding author for this work
  • Beihang University
  • Jilin University

Research output: Contribution to journalArticlepeer-review

Abstract

Point-proton density distributions are deduced for 130 stable nuclei from 7Li to 232Th from nuclear charge densities determined in elastic electron scattering. There are 171 cases presented in model-dependent forms, including the modified Harmonic-oscillator function, two-parameter Fermi function (2pF), three-parameter Fermi function, three-parameter Gaussian function, and 97 in Fourier-Bessel series model-independent forms. Independent of density functions, the point-proton root-mean-square (rms) radii of the derived point-proton density show excellent agreement with each other. We identify cases where the tabulated data of charge densities and charge radii are inconsistent, and the deduced point-proton density distributions are inaccurate due to insufficient experimental momentum transfer coverage or inconsistent scattering experiments. For the widely used 2pF distribution, it is found that the surface diffuseness parameters can be empirically calculated from those of charge density, while the half-density radius parameters follow the A1/3 rule. The derived point-proton density distributions can be used as input in nuclear reaction studies and compared with nuclear model predictions.

Original languageEnglish
Article number101733
JournalAtomic Data and Nuclear Data Tables
Volume165
DOIs
StatePublished - Aug 2025

Keywords

  • Charge density distribution
  • Point-proton density distribution
  • Stable nuclei
  • Two-parameter Fermi function

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