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Analytic continuation of nucleon electromagnetic form factors in the time-like region

Authors: P. Alberto , A. Drago, A. Mangoni, S. Moretti, S. Pacetti

Ref.: J. Phys. G: Nucl. Part. Phys. 48, 085007 (2021)

Abstract: The possibility to compute nucleon electromagnetic form factors in the timelike region by analytic continuation of their space-like expressions, obtained in the framework of a generic model of nucleons, has been explored. We have developed a procedure to analytically solve Fourier transforms of the nucleon electromagnetic current and hence to obtain form factors defined in all kinematic regions and fulfilling the first-principles requirements of analyticity and unitarity. The results obtained in the particular case of the Skyrme model are discussed and compared to data, both in the space-like and time-like region.

DOI: https://doi.org/10.1088/1361-6471/abfbc2