Year: 2025
Type: article
Abstract: The present paper proposes a robust evaluation of any radial density at small distances using negative-order radial moments evaluated in momentum space. This evaluation provides a valuable insight into the behavior of a given radial density in the vicinity of $$r=0$$ r = 0 , and puts strong emphasis on the importance of measuring form factors at large squared four-momentum transfer, a domain essential for the determination of negative order moments. A specific attention is paid to the regularization scheme directly affecting the numerical determination of the radial density’s parametrization. The proposed method is applied to non-relativistic study cases of the nucleon electric ( $$G_{En}, G_{Ep}$$ G En , G Ep ), and proton magnetic $$G_{Mp}$$ G Mp form factors. The validation is performed through comparison of the results of the approach to the analytically determined Maclaurin expansion - in the vicinity of $$r=0$$ r = 0 - of the radial density function. The method is also applied to the relativistic Dirac form factor $${{F_{1p}}}$$ F 1 p of the proton. In such a non-trivial case, the Maclaurin development might not exist for the radial density, rendering the determination from the proposed method extremely important.
Source: The European Physical Journal A
Authors: M. Atoui, M. Hoballah, M. Lassaut, J. Van de Wiele
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,990
Funder: Université Paris-Saclay
OpenAlex ID: W4403579484