High-statistics study ofπ+p,π−p, andppelastic scattering at 200 GeV/c

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Abstract

We have measured ${\ensuremath{\pi}}^{+}p$, ${\ensuremath{\pi}}^{\ensuremath{-}}p$, and $\mathrm{pp}$ elastic scattering at an incident-beam momentum of 200 GeV/c in the region of $\ensuremath{-}t$, four-momentum transfer squared, from 0.021 to 0.665 (${\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$. The data allow an investigation of the $t$ dependence of the logarithmic forward slope parameter $b\ensuremath{\equiv}(\frac{d}{\mathrm{dt}})(\mathrm{ln}\frac{d\ensuremath{\sigma}}{\mathrm{dt}})$. In addition to standard parametrization, we use functional forms suggested by the additive quark model to fit the measured $\frac{d\ensuremath{\sigma}}{\mathrm{dt}}$ distributions. Within the context of this model we estimate the size of the clothed quark in the pion and proton. Limits on the elastic-scattering amplitude derived from unitarity bounds are checked, and no violations are observed.

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