Extraction of the Pomeron Trajectory from a Global Fit to Exclusive $ρ^0$ Meson Photoproduction Data
Benno List
备注：
6 pages, 2 figures, to appear in the proceedings of the XVII International Workshop on Deep Inelastic Scattering and Related Subjects DIS 2009, Madrid, Spain, April 26-30, 2009
Based on data on elastic $ρ^0$ photoproduction from the H1, Omega and ZEUS collaborations, a fit has been performed to extract the value $α_P (t)$ of the pomeron trajectory at fixed values of t from the W dependence of the differential $γp$ cross section $d σ_{γp} (W) / d t$. The data used in the fit cover the range of $8.3 \le W \le 94 GeV$ in $γp$ centre-of-mass energy and $0.01 \le |t| \le 0.95 GeV^2$ in momentum transfer.
A linear fit to the resulting values of $α_P (t)$ yields $α_{P,0} =1.0871 \pm 0.0026 (stat.) \pm 0.0030 (syst.)$ for the intercept and $α'_P = 0.126 \pm 0.013 (stat.) \pm 0.012 (syst.) GeV^{-2}$ for the slope of the pomeron trajectory. The data are also compatible with the Donnachie-Landshoff trajectory $α_P (t) = 1.0808 + 0.25 GeV^{-2}\cdot t$ at low values $|t| \lesssim 0.3 GeV^2$ and with a constant value of $α_P (t)$ at larger values of $|t|$.
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