Two-Photon Production of Four-Quark States Up to the J/psi Energy

Evidence for an explicitly exotic state with isospin 2 and spin-parity 2^+ near the $\rho\rho$ threshold and nontrivial complementary indications of the unusual quark composition of the $f_0(980)$ and $a_0(980)$ states obtained from the reactions of two-photon formation of neutral meson resonances are discussed, together with puzzling phenomena in the channels $\gamma\gamma\to\rho^0\phi$ and $\gamma\gamma\to\rho^0\rho^0$ at high energies.