# Measurements of the branching fractions of $\eta_c\to K^+K^-\pi^0$, $K^0_S K^{\pm}\pi^{\mp}$,$2(\pi^+\pi^-\pi^0)$, and $p \bar{p}$

## TL;DR

This study measures the branching fractions of various $ ext{eta}_c$ decay modes using BESIII data, providing new insights into decay probabilities and the first measurement of charged track multiplicity in $ ext{eta}_c$ decays.

## Contribution

It presents the first measurement of charged track multiplicity in $ ext{eta}_c$ decays and provides precise branching fractions for multiple decay channels.

## Key findings

- Branching fraction of $ ext{eta}_c o K^+K^-\pi^0$ is approximately 1.15%.
- Branching fraction of $ ext{eta}_c o K^0_S K^{\pm}\pi^{\mp}$ is approximately 2.60%.
- Branching fraction of $ ext{eta}_c o 2(\pi^+\pi^-\pi^0)$ is approximately 15.2%.

## Abstract

Using data samples collected with the BESIII detector at center-of-mass energies $\sqrt{s} = 4.23, 4.26, 4.36,$ and $4.42$~\rm{GeV}, we measure the branching fractions of $\eta_c\to K^+K^-\pi^0$, $K^0_S K^{\pm}\pi^{\mp}$, $2(\pi^+\pi^-\pi^0)$, and $p \bar{p}$, via the process $e^+e^-\to\pi^+\pi^-h_c$, $h_c\to\gamma\eta_c$. The corresponding results are $(1.15\pm0.12\pm0.10)\%$, $(2.60\pm0.21\pm0.20)\%$, $(15.2\pm1.8\pm1.7)\%$, and $(0.120\pm0.026\pm0.015)\%$, respectively. Here the first uncertainties are statistical, and the second ones systematic. Additionally, the charged track multiplicity of $\eta_c$ decays is measured for the first time.