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We have performed a calculation of the $\gamma p \to \pi^+ \pi^- p$ reaction,where the two pions have been separated in $D$-wave producing the $f_2(1270)$resonance. We use elements of the local hidden gauge approach that provides theinteraction of vector mesons in which the $f_2(1270)$ resonance appears as a$\rho$-$\rho$ molecular state in $L=0$ and spin 2. The vector meson dominance,incorporated in the local hidden gauge approach converts a photon into a$\rho^0$ meson and the other meson connects the photon with the proton. Thepicture is simple and has no free parameters, since the parameters of thetheory have been constrained in the previous study of the vector-vector states.In a second step we introduce new elements, not present in the local hiddengauge approach, adapting the $\rho$ propagator to Regge phenomenology andintroducing the $\rho NN$ tensor coupling. We find that both the differentialcross section as well as the $t$ dependence of the cross section are in goodagreement with the experimental results and provide support for the molecularpicture of the $f_2(1270)$ in the first baryonic reaction where it has beentested.

Photoproduction of the $f_2(1270)$ resonance