Measurement of the Slope of the Diffraction Peak for Elastic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Scattering from 8 to 400 GeV

Abstract

The slope $b(s)$ of the forward diffraction peak of $p\ensuremath{-}p$ elastic scattering has been measured in the momentum-transfer-squared range $0.005\ensuremath{\lesssim}|t|\ensuremath{\lesssim}0.09$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$ and at incident proton energies from 8 to 400 GeV. We find that $b(s)$ increases with $s$, and in the interval $100\ensuremath{\lesssim}s\ensuremath{\lesssim}750$ ${(\mathrm{GeV})}^{2}$ it can be fitted by the form $b(s)={b}_{0}+2{\ensuremath{\alpha}}^{\ensuremath{'}}\mathrm{ln}s$ with ${b}_{0}=8.23\ifmmode\pm\else\textpm\fi{}0.27$, ${\ensuremath{\alpha}}^{\ensuremath{'}}=0.278\ifmmode\pm\else\textpm\fi{}0.024$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{\ensuremath{-}2}$.