Asymptotic behavior of nucleon electromagnetic form factors in time-like region

Abstract

We study the asymptotic behavior of the ratio of Pauli and Dirac electromagnetic nucleon form factors, $F_2/F_1$, in time-like region for different parametrizations built for the space-like region. We investigate how fast the ratio $F_2/F_1$ approaches the asymptotic limits according to the Phragmèn-Lindelöf theorem. We show that the QCD-inspired logarithmic behavior of this ratio results in very far asymptotics, experimentally unachievable. This is also confirmed by the normal component of the nucleon polarization, $P_y$, in $e^{+}+e^{-}\to N+\bar{N}$ (in collisions of unpolarized leptons), which is a very interesting observable, with respect to this theorem. Finally we observe that the 1/Q parametrization of $F_2/F_1$ contradicts this theorem.

arXiv comment9 pages, 1 figure

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• Determination of Nucleon Form factors from Baryonic B Decays
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• Microscopic parametrization of the near threshold oscillations of the nucleon time-like effective electromagnetic form factors
• Flavor content of nucleon form factors in the space- and time-like region
• From theory to experiment: hadron electromagnetic form factors in space-like and time-like regions