Scaling study of the pion electroproduction cross sections and the pion form factor

Abstract

The ${}^1$H($e,e^{\prime }{\pi }^{+}$)n cross section was measured for a range of four-momentum transfer up to $Q^2$=3.91 GeV${}^2$ at values of the invariant mass, $W$, above the resonance region. The $Q^2$-dependence of the longitudinal component is consistent with the $Q^2$-scaling prediction for hard exclusive processes. This suggests that perturbative QCD concepts are applicable at rather low values of $Q^2$. Pion form factor results, while consistent with the $Q^2$-scaling prediction, are inconsistent in magnitude with perturbative QCD calculations. The extraction of Generalized Parton Distributions from hard exclusive processes assumes the dominance of the longitudinal term. However, transverse contributions to the cross section are still significant at $Q^2$=3.91 GeV${}^2$.

6 pages, 3 figures

References in corpus (3)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Compton Scattering Cross Section on the Proton at High Momentum Transfer

Cited by in corpus (5)

• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Singular Charge Density at the Center of the Pion?
• Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor
• Pseudo-scalar meson form factors with maximally twisted Wilson fermions at Nf = 2
• Vector Meson Dominance as the first order of a sequence of Pade Approximants