Consistent analysis of $f_1 (1285)$ meson form factors

TL;DR

This paper proposes a parameterization of the $f_1(1285)$ meson form factors that aligns with experimental data on production cross sections, decay widths, and theoretical asymptotic predictions.

Contribution

The paper introduces a new parameterization model for $f_1(1285)$ meson form factors consistent with experimental measurements and theoretical asymptotic behavior.

Findings

Parameterization matches experimental cross sections.

Consistent with decay width measurements.

Aligns with theoretical asymptotic predictions.

Abstract

Parameterization of the form factors of $f_1 (1285)$ meson is proposed. This parameterization is consistent with the available experimental data on the cross sections of $f_1 (1285)$ meson production in the processes $e^+e^- \to f_1 (1285)$ and $e^+e^- \to e^+e^-f_1 (1285)$, as well as on the widths of the decays $f_1 (1285)\to e^+e^-$, $f_1 (1285)\to \rho^0\gamma$, $f_1 (1285)\to \rho^0\pi^+\pi^-$, and $f_1 (1285)\to 2\pi^+2\pi^-$. Our parameterization is also consistent with the predictions for the asymptotic behavior of these form factors.