Measurement of the differential cross sectiondσ/dtin elasticpp¯scattering ats=1.96 TeV

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Abstract

We present a measurement of the elastic differential cross section $d\ensuremath{\sigma}(p\overline{p}\ensuremath{\rightarrow}p\overline{p})/dt$ as a function of the four-momentum-transfer squared $t$. The data sample corresponds to an integrated luminosity of $\ensuremath{\approx}31\text{ }\text{ }{\mathrm{nb}}^{\ensuremath{-}1}$ collected with the D0 detector using dedicated Tevatron $p\overline{p}$ Collider operating conditions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$ and covers the range $0.26<|t|<1.2\text{ }\text{ }{\mathrm{GeV}}^{2}$. For $|t|<0.6\text{ }\text{ }{\mathrm{GeV}}^{2}$, $d\ensuremath{\sigma}/dt$ is described by an exponential function of the form $A{e}^{\ensuremath{-}b|t|}$ with a slope parameter $b=16.86\ifmmode\pm\else\textpm\fi{}0.10(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.20(\mathrm{syst})\text{ }\text{ }{\mathrm{GeV}}^{\ensuremath{-}2}$. A change in slope is observed at $|t|\ensuremath{\approx}0.6\text{ }\text{ }{\mathrm{GeV}}^{2}$, followed by a more gradual $|t|$ dependence with increasing values of $|t|$.

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