Pion form factor in the range -10 GeV^2 < s < 1 GeV^2

Abstract

Based on the field-theory-inspired approach, a new expression for the pion form factor F_pi is proposed. It takes into account the pseudoscalar meson loops ${\pi }^{+}{\pi }^{-}$ and $K\bar{K}$ and the mixing of $\rho (770)$ with heavier $\rho (1450)$ and $\rho (1700)$ resonances. The expression possesses correct analytical properties and describes the data in the wide range of the energy squared $-10{GeV}^2\le s\le 1$ GeV${}^2$ without introducing the phenomenological Blatt -- Weisskopf range parameter $R_{\pi }$.

5 pages, 6 figures, 1 table. Typo in Eq. (2) is fixed. arXiv admin note: substantial text overlap with arXiv:1104.4225

References in corpus (3)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Electromagnetic form factor of pion in the field theory inspired approach

Cited by in corpus (5)

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• 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
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Analytic pion form factor