Phenomenological model for the ?? ? ?+?-?0 reaction

We present a phenomenological model for the gamma gamma -> pi+ pi- pi 0 reaction by including the production mechanism of the a2(1320) resonance, as well as the contributions from the sigma/f0(500)pi 0 and f2(1270)pi 0 production channels. Furthermore, the gamma gamma -> rho +/-pi -/+ -> pi+ pi- pi 0 channel, which is essential for a description in the low-energy region, is investigated carefully by introducing the complete set of gauge invariant and Lorentz-covariant tensors for the gamma gamma -> rho +/- pi -/+ subprocess. The full amplitude is constructed to yield a correct high-energy Regge behavior. Within our model, we achieve a very reasonable description of ARGUS and L3 data of the total cross section, as well as of the pi +/-pi 0 and pi+ pi- invariant mass distributions. We also predict the invariant mass distributions in the gamma gamma center-of-mass energy range from 0.8 to 2.0 GeV, which will be studied by the forthcoming data of the BESIII Collaboration.