We investigate the possibility that the process of \rho 0-meson photoproduction on proton, \gamma +p\rightarrow p+\rho 0, in the near threshold region E\gamma < 2 GeV, can be considered in the framework of model with \pi -, \sigma - and N-exchanges. This suggestion is based on a study of the t-dependence of differential cross section, d\sigma (\gamma p \rightarrow p \rho 0)/dt, which has been measured by SAPHIR Collaboration. We find that the suggested model provides a good description of the experimental data with new values of \rho NN-coupling constants in the region of the time-like \rho 0-meson momentum. Our results suggest that such model can be considered as a suitable nonresonant background mechanism for the future discussion of possible role of nucleon resonance contributions. Our predictions for \rho 0-meson photoproduction on neutron target and for beam asymmetry on both proton and neutron targets are presented.
PACS numbers: 13.60.Le, 13.60.--r, 13.88.+e, 24.70.+s
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