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

Zhou, Jingyi; Khachatryan, Vladimir; Akushevich, Igor; Gao, Haiyan; Ilyichev, Alexander; Peng, Chao; Srednyak, Stanislav; Xiong, Weizhi

doi:10.1140/epja/s10050-023-01174-6

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

Journal Article · Sat Nov 04 00:00:00 EDT 2023 · European Physical Journal. A, Hadrons and Nuclei (Online)

DOI:https://doi.org/10.1140/epja/s10050-023-01174-6· OSTI ID:2481114

Zhou, Jingyi ^[1]; Khachatryan, Vladimir ^[2]; Akushevich, Igor ^[3]; Gao, Haiyan ^[1]; Ilyichev, Alexander ^[4]; Peng, Chao ^[5]; Srednyak, Stanislav ^[1]; Xiong, Weizhi ^[6]

Duke Univ., Durham, NC (United States); Triangle Universities Nuclear Laboratory (TUNL), Durham, NC (United States)
Duke Univ., Durham, NC (United States); Triangle Universities Nuclear Laboratory (TUNL), Durham, NC (United States); Indiana Univ., Bloomington, IN (United States)
Duke Univ., Durham, NC (United States)
Belarusian State University (Belarus)
Argonne National Laboratory (ANL), Argonne, IL (United States)
Shandong Univ. (China)

Analogous to the well-known proton charge radius puzzle, a similar puzzle exists for the deuteron charge radius, r_d. There are discrepancies observed in the results of r_d, measured from electron-deuteron (e - d) scattering experiments, as well as from atomic spectroscopy. In order to help resolve the charge radius puzzle of the deuteron, the PRad collaboration at Jefferson Lab has proposed an experiment for measuring r_d, named DRad. This experiment is designed to measure the unpolarized elastic e - d scattering cross section in a low-Q² region. To extract the cross section with a high precision, having reliable knowledge of QED radiative corrections is important. Here, in this paper, we present complete numerical calculations of the lowest-order radiative corrections in e - d scattering for the DRad kinematics. The calculations have been performed within a covariant formalism and beyond the ultra-relativistic approximation ($$m^2_e$$ $$\ll$$ Q²). Besides, we present a systematic uncertainty on r_d arising from higher-order radiative corrections, estimated based on our cross-section results.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; FG02-03ER41231

OSTI ID:: 2481114

Journal Information:: European Physical Journal. A, Hadrons and Nuclei (Online), Journal Name: European Physical Journal. A, Hadrons and Nuclei (Online) Journal Issue: 11 Vol. 59; ISSN 1434-601X

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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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

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