Abstract

The most recent total-cross-section data are used to calculate real parts of the forward elastic ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ scattering amplitudes from threshold to 240 GeV/c. Using statistical and systematic uncertainties of the total cross sections and their momenta, along with uncertainties of the subtraction and coupling constants, unphysical cuts, and cross-section extrapolations, we calculate the uncertainties of the real amplitudes. Our results are compared to experimental and other theoretical determinations of the ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ forward real amplitudes.

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