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Charged pion form factor between Q²=0.60 and 2.45 GeV². I. Measurements of the cross section for the {¹}H(e,e'π^+)n reaction

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arxiv 0809.3161 v1 pith:W33SU7WE submitted 2008-09-18 nucl-ex

Charged pion form factor between Q²=0.60 and 2.45 GeV². I. Measurements of the cross section for the {¹}H(e,e'π^+)n reaction

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Cross sections for the reaction ${^1}$H($e,e'\pi^+$)$n$ were measured in Hall C at Thomas Jefferson National Accelerator Facility (JLab) using the CEBAF high-intensity, continous electron beam in order to determine the charged pion form factor. Data were taken for central four-momentum transfers ranging from $Q^2$=0.60 to 2.45 GeV$^2$ at an invariant mass of the virtual photon-nucleon system of $W$=1.95 and 2.22 GeV. The measured cross sections were separated into the four structure functions $\sigma_L$, $\sigma_T$, $\sigma_{LT}$, and $\sigma_{TT}$. The various parts of the experimental setup and the analysis steps are described in detail, including the calibrations and systematic studies, which were needed to obtain high precision results. The different types of systematic uncertainties are also discussed. The results for the separated cross sections as a function of the Mandelstam variable $t$ at the different values of $Q^2$ are presented. Some global features of the data are discussed, and the data are compared with the results of some model calculations for the reaction ${^1}$H($e,e'\pi^+$)$n$.

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Cited by 2 Pith papers

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  1. On Exclusive Coherent Production of Bosons in Electron-Proton Collisions

    hep-ph 2026-04 unverdicted novelty 6.0

    A phenomenological 2-to-3 framework is constructed for exclusive boson electroproduction that matches flux-factorized predictions near Q^{2}=0 while capturing finite-Q^{2} effects at larger virtualities.

  2. Pion off-shell form factors

    nucl-th 2026-05 unverdicted novelty 3.0

    Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.