English

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

High Energy Physics - Phenomenology 2015-06-11 v2 High Energy Physics - Experiment Nuclear Theory

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\pi^+\pi^- and KKˉK\bar K and the mixing of ρ(770)\rho(770) with heavier ρ(1450)\rho(1450) and ρ(1700)\rho(1700) resonances. The expression possesses correct analytical properties and describes the data in the wide range of the energy squared 10GeV2s1-10{GeV}^2\leq s\leq1 GeV2^2 without introducing the phenomenological Blatt -- Weisskopf range parameter RπR_\pi.

Keywords

Cite

@article{arxiv.1209.5524,
  title  = {Pion form factor in the range -10 GeV^2 < s < 1 GeV^2},
  author = {N. N. Achasov and A. A. Kozhevnikov},
  journal= {arXiv preprint arXiv:1209.5524},
  year   = {2015}
}

Comments

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