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.
Highlights
To study the efficiency of each final state, a sample of 1 × 105 signal events is generated at each energy point using KKMC, which simulates eþe− annihilation, including beam energy spread and initial state radiation (ISR) effects
The effects of multiplicative systematic uncertainties are taken into account by convolving the distribution of LðσBÞ with a probability distribution function of sensitivity (S), which is assumed to be a Gaussian function with central value Sand standard deviation δS [77]: L0ðσBÞ
Comparing them with our results, the branching fraction of the Yð4260Þ decaying into K0SKÆπ∓π0 and K0SKÆπ∓η is much smaller, which indicates a much smaller coupling of the Yð4260Þ to the light hadrons K0SKÆπ∓π0 and
Summary
JAlso at Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443, People’s Republic of China. The natures of the Yð4260Þ and Zcð3900Þ are still unclear To comprehend these states, it is necessary to study more decay modes. All of the observed decay modes of the Yð4260Þ and Zcð3900Þ are associated with the charm sector and no light hadron decay modes have been found yet [54,55,56]. A search for light hadron decay modes of the Yð4260Þ and Zcð3900Þ is complementary to previous studies and may help to distinguish between different theoretical models and to understand strong interaction effects in this energy region.
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