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

• Main Authors: Obraztsov, I. V, Rudenko, A. S, Milstein, A. I
• Format: Journal Article
• Language: English
• Published: 03-09-2024
• Subjects: Physics - High Energy Physics - Experiment; Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.2409.01886

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.