Photon-photon scattering with synchrotron radiation

The number and (energy as well as polarization) spectrum of photons scattered in the forward direction in the reaction centre-of-mass frame are calculated when two beams of synchrotron radiation are scattered on each other. The synchrotron radiation is produced by electrons or positrons. Its properties depend on the following parameters: energy and local radius of orbit curvature of the emitting particles, intensity of the emitting current, and angle of emission of the synchrotron radiation. The dependence of the calculated numbers on these parameters is exhibited.