Systematic differences exist between values of the proton's electric form factors in the low- 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 () function, a predictive function that can be reasonably used for extrapolations at . 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 . 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.
{ "_oai": { "updated": "2022-12-27T00:36:24Z", "id": "oai:repo.scoap3.org:74743", "sets": [ "PRC" ] }, "authors": [ { "raw_name": "Jingyi Zhou", "affiliations": [ { "country": "USA", "value": "Department of Physics, Duke University, Durham, North Carolina 27708, USA" }, { "country": "USA", "value": "Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA" } ], "surname": "Zhou", "given_names": "Jingyi", "full_name": "Zhou, Jingyi" }, { "raw_name": "Vladimir Khachatryan", "affiliations": [ { "country": "USA", "value": "Department of Physics, Duke University, Durham, North Carolina 27708, USA" }, { "country": "USA", "value": "Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA" } ], "surname": "Khachatryan", "given_names": "Vladimir", "full_name": "Khachatryan, Vladimir" }, { "raw_name": "Haiyan Gao", "affiliations": [ { "country": "USA", "value": "Department of Physics, Duke University, Durham, North Carolina 27708, USA" }, { "country": "USA", "value": "Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA" } ], "surname": "Gao", "given_names": "Haiyan", "full_name": "Gao, Haiyan" }, { "raw_name": "Simon Gorbaty", "affiliations": [ { "country": "USA", "value": "Department of Physics, Duke University, Durham, North Carolina 27708, USA" }, { "country": "USA", "value": "Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA" } ], "surname": "Gorbaty", "given_names": "Simon", "full_name": "Gorbaty, Simon" }, { "raw_name": "Douglas W. Higinbotham", "affiliations": [ { "country": "USA", "value": "Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA" } ], "surname": "Higinbotham", "given_names": "Douglas W.", "full_name": "Higinbotham, Douglas W." } ], "titles": [ { "source": "APS", "title": "Understanding the systematic differences in extractions of the proton electric form factors at low <math><msup><mi>Q</mi><mn>2</mn></msup></math>" } ], "dois": [ { "value": "10.1103/PhysRevC.106.065505" } ], "publication_info": [ { "journal_volume": "106", "journal_title": "Physical Review C", "material": "article", "journal_issue": "6", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-12-27T00:30:22.269479", "source": "APS", "method": "APS", "submission_number": "990178aa857d11ed93fbd61508239648" }, "page_nr": [ 8 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2022" } ], "control_number": "74743", "record_creation_date": "2022-12-26T16:30:07.241678", "_files": [ { "checksum": "md5:9729974ec8a6eb051b38d604f64d88b1", "filetype": "pdf", "bucket": "49e5dbe6-e27f-4910-a726-e4a0e2642875", "version_id": "80fb1239-9cea-49d3-ba37-2a1608f373ec", "key": "10.1103/PhysRevC.106.065505.pdf", "size": 1198793 }, { "checksum": "md5:2731f0c6a22b091f185ba3a1de821781", "filetype": "xml", "bucket": "49e5dbe6-e27f-4910-a726-e4a0e2642875", "version_id": "4cd87efc-28e1-4c65-8237-1782589e0b31", "key": "10.1103/PhysRevC.106.065505.xml", "size": 148032 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-ex", "nucl-th" ], "value": "2110.02557" } ], "abstracts": [ { "source": "APS", "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." } ], "imprints": [ { "date": "2022-12-26", "publisher": "APS" } ] }