Extraction of $t$-slopes from experimental $\gamma p\to K^{+}\Lambda$ and $\gamma p\to K^{+}{\Sigma }_0$ cross section data

Abstract

We analyze recent $K^{+}$ meson photoproduction data from the CLAS collaboration for the reactions $\gamma p\to K^{+}\Lambda$ and $\gamma p\to K^{+}{\Sigma }_0$, fitting measured forward-angle differential cross sections to the form $A{e}^{Bt}$. We develop a quantitative scheme for determining the kinematic region where the fit is to be done, and, from the extracted $t$-slope $B$, determine whether single-Reggeon exchange can explain the production mechanism. We find that, in the region $5<s<8.1$ GeV${}^2$, production of the $K^{+}\Lambda$ channel can be explained by single $K^{+}$ Reggeon exchange, but the $K^{+}{\Sigma }_0$ production channel cannot. We verify these conclusions by fitting the data to a differential cross section produced by the interfering sum of two exponential amplitudes.

10 pages, 10 figures

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