# Measurement of the $e^+e^- \to \pi^+\pi^-\pi^0\eta$ cross section below $\sqrt{s}=2$ GeV

## TL;DR

This study measures the cross section of the $e^+e^- o ext{pi}^+ ext{pi}^- ext{pi}^0 ext{eta}$ process below 2 GeV, identifying contributions from multiple intermediate states and providing more precise data than previous experiments.

## Contribution

First comprehensive measurement of the $e^+e^- o ext{pi}^+ ext{pi}^- ext{pi}^0 ext{eta}$ cross section below 2 GeV, including individual intermediate state contributions with improved accuracy.

## Key findings

- Measured total cross section consistent with previous data.
- Separated contributions from $oldsymbol{ ext{omega} ext{eta}}$, $oldsymbol{ ext{phi} ext{eta}}$, and $oldsymbol{a_0(980)
ho}$ states.
- Achieved comparable or improved measurement precision.

## Abstract

The process $e^+e^- \to \pi^+\pi^-\pi^0\eta$ is studied in the center-of-mass energy region below 2 GeV with the SND detector at the VEPP-2000 $e^+e^-$ collider. The four intermediate states contribute to this process: $\omega\eta$, $\phi\eta$, $a_0(980)\rho$, and a structureless $\pi^+\pi^-\pi^0\eta$ state. We measure the total $e^+e^- \to \pi^+\pi^-\pi^0\eta$ cross section and the cross sections for its components: $\omega\eta$, $\phi\eta$, and a sum of $a_0(980)\rho$ and the structureless state. Our results are in agreement with previous measurements and have comparable or better accuracies.