Charged pion form factor betweenQ2=0.60and 2.45GeV2. I. Measurements of the cross section for the1H(e,e'π+)nreaction
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Abstract
Cross sections for the reaction ${}^{1}\mathrm{H}(e,{e}^{'}{\ensuremath{\pi}}^{+})n$ were measured in Hall C at Thomas Jefferson National Accelerator Facility (JLab) using the high-intensity Continuous Electron Beam Accelerator Facility (CEBAF) to determine the charged pion form factor. Data were taken for central four-momentum transfers ranging from ${Q}^{2}=0.60$ to 2.45 ${\mathrm{GeV}}^{2}$ 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 ${\ensuremath{\sigma}}_{\mathrm{L}},{\ensuremath{\sigma}}_{\mathrm{T}},{\ensuremath{\sigma}}_{\mathrm{LT}}$, and ${\ensuremath{\sigma}}_{\mathrm{TT}}$. 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 ${}^{1}\mathrm{H}(e,{e}^{'}{\ensuremath{\pi}}^{+})n$.
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