Real part of the forward elastic nuclear amplitude forpp,p¯p,π+p,π−p,K+p, andK−pscattering between 70 and 200 GeV/c

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Abstract

We have measured the elastic cross section for $\mathrm{pp}$, $\overline{p}p$, ${\ensuremath{\pi}}^{+}p$, ${\ensuremath{\pi}}^{\ensuremath{-}}p$, ${K}^{+}p$, and ${K}^{\ensuremath{-}}p$ scattering at incident momenta of 70, 100, 125, 150, 175, and 200 GeV/c. The range of the four-momentum transfer squared $t$ varied with the beam momentum from $0.0016\ensuremath{\le}\ensuremath{-}t\ensuremath{\le}0.36$ (${\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$ at 200 GeV/c to $0.0018\ensuremath{\le}\ensuremath{-}t\ensuremath{\le}0.0625$ (${\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$ at 70 GeV/c. The conventional parametrization of the $t$ dependence of the nuclear amplitude by a simple exponential in $t$ was found to be inadequate. An excellent fit to the data was obtained by a parametrization motivated by the additive quark model. Using this parametrization we determined the ratio of the real to the imaginary part of the nuclear amplitude by the Coulomb-interference method.

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