Two-pion production in electron-polarized proton scattering

The process of two pion production in the electron-polarized proton scattering is investigated. In the Weizs\"acker-Williams approximation the differential spectral distributions and the spin-momentum correlations are considered. The spin correlation effects caused by $\rho$-meson widths are estimated to be of an order of several per cent. Both channels of the $\pi^+\pi^-$ and $\pi^+\pi^0$ creation are considered. The effects of intermediate excited baryons are not considered. The spectral distributions on pion energy fractions in polarized and unpolarized cases are presented analytically and numerically.