Advanced extraction of the deuteron charge radius from electron-deuteron scattering data

Abstract

To extract the charge radius of the proton, $r_p$, from the electron scattering data, the PRad collaboration at Jefferson Lab has developed a rigorous framework for finding the best functional forms - the fitters - for a robust extraction of $r_p$ from a wide variety of sample functions for the range and uncertainties of the PRad data. In this paper we utilize and further develop this framework. Herein we discuss methods for searching for the best fitter candidates as well as a procedure for testing the robustness of extraction of the deuteron charge radius, $r_d$, from parametrizations based on elastic electron-deuteron scattering data. The ansatz proposed in this paper for the robust extraction of $r_d$, for the proposed low-$Q^2$ DRad experiment at Jefferson Lab, can be further improved once there are more data.

arXiv comment14 pages, 3 tables and 9 figures

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Cited by in corpus (6)

• The proton charge radius
• Hadron and light nucleus radii from electron scattering
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Elastic Positron-Proton Scattering at Low Q${}^2$
• Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory