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Title: Precise determination of the proton magnetic radius from electron scattering data

Abstract

We extract the proton magnetic radius from high-precision electron-proton elastic scattering cross section data. Our theoretical framework combines dispersion analysis and chiral effective field theory and implements the dynamics governing the shape of the low- Q2 form factors. It allows us to use data up to Q2 0.5 GeV 2 for constraining the radii and overcomes the difficulties of empirical fits and Q2 0 extrapolation. We obtain a magnetic radius r M p = 0.850 ± 0.001 ( 1 σ fit uncertainty) - 0.004 + 0.009 (full-range theory uncertainty) fm, significantly different from earlier results obtained from the same data using empirical fits, and close to our extracted electric radius r E p = 0.842 ± 0.002 ( 1 σ fit uncertainty) - 0.002 + 0.005 (full-range theory uncertainty) fm.

Authors:
ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); Spanish MECD
OSTI Identifier:
1664508
Alternate Identifier(s):
OSTI ID: 1666368
Report Number(s):
JLAB-THY-20-3149; DOE/OR/23177-4926; arXiv:2002.05167
Journal ID: ISSN 2469-9985; PRVCAN; 035203
Grant/Contract Number:  
AC05-06OR23177; FPA2016-77313-P
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Name: Physical Review C Journal Volume: 102 Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Charge distributions; effective field theory; electroweak interactions in nuclear physics; Lepton induced nuclear reactions; photonuclear reactions; quantum electrodynamics; neutrons; protons; chiral symmetry; form factors; magnetic moment; nonperturbative methods

Citation Formats

Alarcón, J. M., Higinbotham, D. W., and Weiss, C. Precise determination of the proton magnetic radius from electron scattering data. United States: N. p., 2020. Web. doi:10.1103/PhysRevC.102.035203.
Alarcón, J. M., Higinbotham, D. W., & Weiss, C. Precise determination of the proton magnetic radius from electron scattering data. United States. https://doi.org/10.1103/PhysRevC.102.035203
Alarcón, J. M., Higinbotham, D. W., and Weiss, C. Mon . "Precise determination of the proton magnetic radius from electron scattering data". United States. https://doi.org/10.1103/PhysRevC.102.035203.
@article{osti_1664508,
title = {Precise determination of the proton magnetic radius from electron scattering data},
author = {Alarcón, J. M. and Higinbotham, D. W. and Weiss, C.},
abstractNote = {We extract the proton magnetic radius from high-precision electron-proton elastic scattering cross section data. Our theoretical framework combines dispersion analysis and chiral effective field theory and implements the dynamics governing the shape of the low-Q2 form factors. It allows us to use data up to Q2≈0.5GeV2 for constraining the radii and overcomes the difficulties of empirical fits and Q2→0 extrapolation. We obtain a magnetic radius rMp=0.850±0.001 (1σ fit uncertainty) -0.004+0.009 (full-range theory uncertainty) fm, significantly different from earlier results obtained from the same data using empirical fits, and close to our extracted electric radius rEp=0.842±0.002 (1σ fit uncertainty) -0.002+0.005 (full-range theory uncertainty) fm.},
doi = {10.1103/PhysRevC.102.035203},
journal = {Physical Review C},
number = 3,
volume = 102,
place = {United States},
year = {Mon Sep 21 00:00:00 EDT 2020},
month = {Mon Sep 21 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevC.102.035203

Figures / Tables:

FIG. 1 FIG. 1: Data: Mainz A1 electron-proton elastic scattering cross section data, with the normalization of the sets determined by our fit (in the higher energy bins, the plots show the data up to Q2 = 0.5 GeV2). Bands: Theoretical model (DIχEFT) with parameters ($r^{p}_{E}$ , $r^{p}_{M}$ ) obtained from ourmore » best fit. The bands show the range of the model predictions obtained by varying the parameters in the 1σ confidence interval of the fit; it does not include the theoretical uncertainty of the model. Both data and model are divided by the cross section evaluated with the standard dipole FFs.« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.