Manifestation of $a_1(1260)$ meson in the process $e^+e^-\to \pi^+\pi^-\pi^0$

TL;DR

This paper investigates charge asymmetry in the e+e- to three-pion process, highlighting the role of the a1(1260) meson and how polarization effects can enhance experimental detection of asymmetries.

Contribution

It demonstrates the manifestation of the a1(1260) meson through charge asymmetry analysis considering electron polarization effects.

Findings

Charge asymmetry can reach several percent.

Polarization introduces additional correlations in the differential cross section.

The study provides a method to experimentally observe the a1(1260) meson.

Abstract

The charge asymmetry in the process $e^+e^-\to \pi^+\pi^-\pi^0$ is studied taking into account a longitudinal polarization of electrons (positrons). The asymmetry arises due to interference of amplitudes corresponding to production of pions in C-odd and C-even states. It is a manifestation of $a_1(1260)$ meson in the intermediate state. Polarization leads to additional correlations in the differential cross section, which simplifies the experimental study of the process. It is shown that the charge asymmetry can reach several percent.