Soft and hard Pomerons in hadron elastic scattering at smallt
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Abstract
We consider simple-pole descriptions of soft elastic scattering for $pp$, $\overline{p}p$, ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ and ${K}^{\ifmmode\pm\else\textpm\fi{}}p$. We work at $t$ and $s$ small enough for rescatterings to be effectively absorbed in a simple-pole parametrization, and allow for the presence of a hard Pomeron. After building and discussing an exhaustive dataset, we show that simple poles provide an excellent description of the data in the region $\ensuremath{-}0.5\text{ }\text{ }{\mathrm{GeV}}^{2}\ensuremath{\le}t\ensuremath{\le}\ensuremath{-}0.1\text{ }\text{ }{\mathrm{GeV}}^{2}$, $6\text{ }\text{ }\mathrm{GeV}\ensuremath{\le}\sqrt{s}\ensuremath{\le}63\text{ }\text{ }\mathrm{GeV}$. We show that new form factors have to be used, and get information on the trajectories of the soft and hard Pomerons.
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