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Understanding the systematic differences in extractions of the proton electric form factors at low Q2

Publication ,  Journal Article
Zhou, J; Khachatryan, V; Gao, H; Gorbaty, S; Higinbotham, DW
Published in: Physical Review C
December 1, 2022

Systematic differences exist between values of the proton's electric form factors in the low-Q2 region extracted by different experimental and theoretical groups, though they are all making use of basically the same electron-proton scattering data. To try to understand the source of these differences, we make use of the analytically well-behaved rational (N=1, M=1) function, a predictive function that can be reasonably used for extrapolations at Q2→0. First, we test how well this deceptively simple two-parameter function describes the extremely complex and state-of-the-art dispersively improved chiral effective field theory calculations. Second, we carry out a complete re-analysis of the 34 sets of electron-proton elastic scattering cross-section data of the Mainz A1 Collaboration with its unconstrained 31 normalization parameters up to Q2=0.5(GeV/c)2. We find that subtle shifts in the normalization parameters can result in relatively large changes in the extracted physical qualities. In conclusion, we show that by simply using a well-behaved analytic function, the apparent discrepancy between recent form-factor extractions can be resolved.

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Published In

Physical Review C

DOI

EISSN

2469-9993

ISSN

2469-9985

Publication Date

December 1, 2022

Volume

106

Issue

6

Related Subject Headings

  • 5106 Nuclear and plasma physics
 

Citation

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Zhou, J., Khachatryan, V., Gao, H., Gorbaty, S., & Higinbotham, D. W. (2022). Understanding the systematic differences in extractions of the proton electric form factors at low Q2. Physical Review C, 106(6). https://doi.org/10.1103/PhysRevC.106.065505
Zhou, J., V. Khachatryan, H. Gao, S. Gorbaty, and D. W. Higinbotham. “Understanding the systematic differences in extractions of the proton electric form factors at low Q2.” Physical Review C 106, no. 6 (December 1, 2022). https://doi.org/10.1103/PhysRevC.106.065505.
Zhou J, Khachatryan V, Gao H, Gorbaty S, Higinbotham DW. Understanding the systematic differences in extractions of the proton electric form factors at low Q2. Physical Review C. 2022 Dec 1;106(6).
Zhou, J., et al. “Understanding the systematic differences in extractions of the proton electric form factors at low Q2.” Physical Review C, vol. 106, no. 6, Dec. 2022. Scopus, doi:10.1103/PhysRevC.106.065505.
Zhou J, Khachatryan V, Gao H, Gorbaty S, Higinbotham DW. Understanding the systematic differences in extractions of the proton electric form factors at low Q2. Physical Review C. 2022 Dec 1;106(6).

Published In

Physical Review C

DOI

EISSN

2469-9993

ISSN

2469-9985

Publication Date

December 1, 2022

Volume

106

Issue

6

Related Subject Headings

  • 5106 Nuclear and plasma physics