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ORIGINAL RESEARCH article

Front. Phys.
Sec. Nuclear Physics​
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1490337
This article is part of the Research Topic Neutron Skin Thickness in Atomic Nuclei: Current Status and Recent Theoretical, Experimental and Observational Developments View all 5 articles

The consistent analyses for determination of the point-nucleon distributions by electron and proton scatterings

Provisionally accepted
  • 1 Tohoku University, Research Center for Accelerator and Radioisotope Science, Sendai, Japan
  • 2 Fukuoka University of Education, Munakata, Fukuoka, Japan
  • 3 Kyushu University, Fukuoka, Japan

The final, formatted version of the article will be published soon.

    Electron scattering cross section, as well as proton scattering cross section, observes the point-proton and the point-neutron distributions, ρ τ (r), (τ = p, n), but both cross sections are not able to determine them separately. If they are analyzed consistently with each other, there is a possibility to determine them with less ambiguity. The consistency can be examined through the moments of the charge distribution, ρ c (r), which linearly depend on the moments of the point-proton and -neutron distributions, ρ τ (r), (τ = p, n). The fourth moment, ⟨ r 4 ⟩ c , of ρ c (r) in 208 Pb observed in electron scattering is well reproduced by the mean square radii, ⟨ r 2 ⟩ τ , of ρ τ (r) obtained consistently in the non-relativistic analyses of electron-and proton-scattering cross sections. The regression analyses of the non-relativistic mean-field models reproduce well those values of the moments.

    Keywords: neutron-skin, point-nucleon distribution, moments of the charge distribution, Electron-scattering, proton-scattering

    Received: 03 Sep 2024; Accepted: 02 Jan 2025.

    Copyright: © 2025 Suzuki, Danjo, Suda, Matsuzaki and Wakasa. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Toshio Suzuki, Tohoku University, Research Center for Accelerator and Radioisotope Science, Sendai, Japan

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