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arXiv · 1305.6117

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

N. N. Achasov·A. A. Kozhevnikov
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Abstract

Using the field-theory-inspired expression for the pion electromagnetic form factor F_π, a good description of the data in the range -10 pi^+ pi^- is obtained at energies up to 3 GeV. The inclusion of the VP and AP loops demands the treatment of the reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^-. This task is also made, with the SND data on the omega pi^0 production and the BABAR data on the pi^+ pi^- pi^+ pi^- production, both in e^+e^- annihilation, upon taking into account ρ(770) and the heavier ρ(1450), ρ(1700), and ρ(2100) resonances. The problems with inclusion of the VP and AP loops are pointed out and discussed.

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N. N. Achasov, A. A. Kozhevnikov. 2013-11-14. 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. https://doi.org/10.1103/physrevd.88.093002

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