Hadron and light nucleus radii from electron scattering

Zhu-Fang Cui (School of Physics, Nanjing University, China; Institute for Nonperturbative Physics, Nanjing University, China) ; Daniele Binosi (European Centre for Theoretical Studies in Nuclear Physics and Related Areas Villa Tambosi, Strada delle Tabarelle 286, Italy) ; Craig D. Roberts (School of Physics, Nanjing University, China; Institute for Nonperturbative Physics, Nanjing University, China) ; Sebastian M. Schmidt (Helmholtz-Zentrum Dresden-Rossendorf, Germany; RWTH Aachen University, III. Physikalisches Institut B, Germany)

Conceptually, radii are amongst the simplest Poincaré-invariant properties that can be associated with hadrons and light nuclei. Accurate values of these quantities are necessary so that one may judge the character of putative solutions to the strong interaction problem within the Standard Model. However, limiting their ability to serve in this role, recent measurements and new analyses of older data have revealed uncertainties and imprecisions in the radii of the proton, pion, kaon, and deuteron. In the context of radius measurement using electron+hadron elastic scattering, the past decade has shown that reliable extraction requires minimisation of bias associated with practitioner-dependent choices of data fitting functions. Different answers to that challenge have been offered; and this perspective describes the statistical Schlessinger point method (SPM), in unifying applications to proton, pion, kaon, and deuteron radii. Grounded in analytic function theory, independent of assumptions about underlying dynamics, free from practitioner-induced bias, and applicable in the same form to diverse systems and observables, the SPM returns an objective expression of the information contained in any data under consideration. Its robust nature and versatility make it suitable for use in many branches of experiment and theory.

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Published on:
01 December 2022
Publisher:
IOP
Published in:
Chinese Physics C , Volume 46 (2022)
Issue 12
Article ID: 122001
DOI:
https://doi.org/10.1088/1674-1137/ac89d0
Copyrights:
© 2022 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
Licence:
CC-BY-3.0

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