Two-pion production in electron-polarized proton scattering

TL;DR

This paper investigates two-pion production in electron-polarized proton scattering, analyzing spectral distributions and spin-momentum correlations, with estimates of spin effects from $ ho$-meson widths, focusing on different pion channels.

Contribution

It provides analytical and numerical spectral distributions for two-pion production in polarized scattering, including spin-momentum correlations and $ ho$-meson width effects, which are novel in this context.

Findings

Spin correlation effects are estimated to be several percent.

Spectral distributions are provided analytically and numerically.

Both $ ho$-meson width effects and different pion channels are analyzed.

Abstract

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.