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

Jingyi Zhou (Department of Physics, Duke University, Durham, North Carolina 27708, USA; Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA) ; Vladimir Khachatryan (Department of Physics, Duke University, Durham, North Carolina 27708, USA; Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA) ; Haiyan Gao (Department of Physics, Duke University, Durham, North Carolina 27708, USA; Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA) ; Simon Gorbaty (Department of Physics, Duke University, Durham, North Carolina 27708, USA; Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA) ; Douglas W. Higinbotham (Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA)

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 Q20. 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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      "value": "Systematic differences exist between values of the proton's electric form factors in the low-<math><msup><mi>Q</mi><mn>2</mn></msup></math> 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 (<math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow><mo>,</mo><mo> </mo><mrow><mi>M</mi><mo>=</mo><mn>1</mn></mrow></math>) function, a predictive function that can be reasonably used for extrapolations at <math><mrow><msup><mi>Q</mi><mn>2</mn></msup><mo>\u2192</mo><mn>0</mn></mrow></math>. 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 <math><mrow><msup><mi>Q</mi><mn>2</mn></msup><msup><mrow><mo>=</mo><mn>0.5</mn><mspace width=\"0.16em\"></mspace><mrow><mo>(</mo><mi>GeV</mi></mrow><mo>/</mo><mi>c</mi><mo>)</mo></mrow><mn>2</mn></msup></mrow></math>. 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 on:
26 December 2022
Publisher:
APS
Published in:
Physical Review C , Volume 106 (2022)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevC.106.065505
arXiv:
2110.02557
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: