Electromagnetic form factor of pion in the field theory inspired approach

Abstract

A new formula for the pion form factor F_pi is proposed which takes into account the pseudoscalar meson loops and the mixing among rho(770), rho(1450), and rho(1700). The expression possesses correct analytical properties and can be used in both timelike and spacelike kinematical regions. The comparison is made with the existing experimental data on F_pi collected by the detectors SND, CMD-2, KLOE, and BaBaR restricted to energies below 1 GeV. A good description of all four data sets is obtained. In the spacelike region, upon substituting the resonance parameters found in the timelike one, the formula gives F_pi, in agreement with the measurements of the NA7 Collaboration.

arXiv comment12 pages, 8 figures. Text rearranged. Clarifying remarks and references added

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• A Refined Analysis on the $X(3872)$ Resonance
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process cross section with the SND detector at the VEPP-2000 collider in the energy region $0.525<\sqrt{s}<0.883$ GeV
• The pion light-cone distribution amplitude from the pion electromagnetic form factor
• Two-pion low-energy contribution to the muon $g-2$ with improved precision from analyticity and unitarity
• Line shape of ψ(3770) in e^+e^-\to D\bar D
• The processes $e^{+}{e}^{-}\to \pi \pi ({\pi }^{\prime })$ in the extended NJL model
• Description of the ψ(3770) resonance interfering with the background
• Pion form factor and reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^- at energies up to 2-3 GeV in the many-channel approach
• $1/N_c$ approximation and universality of vector mesons
• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \rho$
• Pion form factor in the range -10 GeV^2 < s < 1 GeV^2