Dispersion Relation for the Nucleon Electromagnetic Form Factors
Susumu Furuichi (Department of Physics, Rikkyo University, Toshima, Tokyo 171-8501, Japan), Hirohisa Ishikawa (Department of Economy, Meikai, University, Urayasu Chiba, 279-8550, Japan), Keiji Watanbe (Department of, Physics, Meisei University, Hino Tokyo 191-8506, Japan)

TL;DR
This paper uses dispersion relations with QCD constraints to analyze nucleon electromagnetic form factors, successfully matching experimental data for both space-like and time-like momentum regions.
Contribution
It introduces a dispersion relation approach incorporating QCD constraints to accurately model nucleon form factors across different momentum regions.
Findings
Reproduces experimental data for neutron magnetic form factors.
Aligns with recent CLAS collaboration data for space-like form factors.
Compatible with BABAR collaboration data for time-like form factor ratios.
Abstract
Elastic electromagnetic form factors of nucleons are investigated both for the time-like and the space-like momentums by using the unsubtracted dispersion relation with QCD constraints. It is shown that the calculated form factors reproduce the experimental data reasonably well; they agree with recent experimental data for the neutron magnetic form factors for the space-like data obtained by the CLAS collaboration and are compatible with the ratio of the electric and magnetic form factors for the time-like momentum obtained by the BABAR collaboration.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Particle Accelerators and Free-Electron Lasers
