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Measurement of Elastic $ρ^0$ Photoproduction at HERA

Elastic $ρ^0$ photoproduction has been measured using the ZEUS detector at HERA. Untagged photoproduction events from $ep$ interactions were used to measure the reaction $γp \rightarrow ρ^0 p$ ($ρ^0 \rightarrow π^+ π^-$) at photon-proton centre-of-mass energies between 60 and 80~GeV and $|t|<0.5$~GeV$^2$, where $t$ is the square of the four-momentum transferred at the proton vertex. The differential cross section $dσ/dM_{ππ}$, where $M_{ππ}$ is the invariant mass of the two pions, and the integrated cross section, $σ_{γp\rightarrow ρ^0 p}$, are presented; the latter was measured to be $14.7\pm 0.4~(\mbox{stat.})~\pm2.4~(\mbox{syst.})~μ\mbox{b}$. The differential cross section $dσ/dt$ has an approximately exponential shape; a fit of the type $A^{\prime}_{t} \exp{(-b^{\prime}_{t}|t| + c^{\prime}_{t} t^2)}$ yields a $t$-slope $b^{\prime}_{t}= 9.9~\pm~1.2~(\mbox{stat.})~\pm 1.4~(\mbox{syst.})~μ\mbox{b}$. The results, when compared to low energy data, show a weak energy dependence of both $σ_{γp\rightarrow ρ^0 p}$ and of the $t$-slope. The $ρ^0$ is produced predominantly with transverse polarisation, demonstrating that $s$-channel helicity conservation holds at these energies.