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

preprint2012arXivOpen access

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 π+π−π^+π^- and KKˉK\bar K and the mixing of ρ(770)ρ(770) with heavier ρ(1450)ρ(1450) and ρ(1700)ρ(1700) resonances. The expression possesses correct analytical properties and describes the data in the wide range of the energy squared −10GeV2≤s≤1-10{GeV}^2\leq s\leq1 GeV2^2 without introducing the phenomenological Blatt -- Weisskopf range parameter RπR_π.

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