Consistent analyses for determination of the point-nucleon distributions by electron and proton scattering

Electron scattering cross section, as well as proton scattering cross section, observes the point-proton and the point-neutron distributions, ρτ(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...

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Bibliographic Details
Main Authors: Toshio Suzuki, Rika Danjo, Toshimi Suda, Masayuki Matsuzaki, Tomotsugu Wakasa
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-01-01
Series:Frontiers in Physics
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Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2025.1490337/full
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Summary:Electron scattering cross section, as well as proton scattering cross section, observes the point-proton and the point-neutron distributions, ρτ(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, ρc(r), which linearly depend on the moments of the point-proton and -neutron distributions, ρτ(r), (τ=p,n). The fourth moment, ⟨ r4 ⟩c, of ρc(r) in 208Pb observed in electron scattering is well-reproduced by the mean square radii, ⟨ r2 ⟩τ, of ρτ(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.
ISSN:2296-424X