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

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

2005-11-07

arxiv.org/abs/hep-ph/0511077v1

Eur.Phys.J.A26:285-291,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure

Scientific paper

10.1140/epja/i2005-10164-5

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 Phragm\`en-Lindel\"of 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.

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