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The -meson photoproduction, , is studied in the framework of a model, containing -meson exchange in t-channel and nucleon-exchange in s- and u-channels. Considering both -coupling constants in the region of time-like meson four momenta as the free parameters, we find different sets of solutions for these constants from the existing data on the t-dependence of the differential cross sections, $d\sigma(\gamma+p\to p+\omega)/dtE_{\gamma}\leq 2$ GeV. These sets of -coupling constants, corresponding to destructive and constructive -interference contributions to can be well distinguished by measurements of beam asymmetry, induced by linear photon polarization.

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