Measurement of the Slope of the Diffraction Peak for Elasticp−pScattering from 8 to 400 GeV

Abstract

The slope $b\left(s\right)\mathrm{}$ of the forward diffraction peak of $p-p$ elastic scattering has been measured in the momentum-transfer-squared range $0.005\lesssim \mathrm{}\left|t\right|\mathrm{}\lesssim 0.09$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$ and at incident proton energies from 8 to 400 GeV. We find that $b\left(s\right)\mathrm{}$ increases with $s$, and in the interval $100\lesssim s\lesssim 750$ ${\mathrm{}\left(\mathrm{GeV}\right)\mathrm{}}^2$ it can be fitted by the form $b\left(s\right)=b_0+2\mathrm{}{\alpha }^{\prime }\ln s$ with $b_0=8.23\mathrm{}\pm 0.27$, ${\alpha }^{\prime }=0.278\mathrm{}\pm 0.024$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{-2\mathrm{}}$.