Search for $η_{1}(1855)$ in $χ_{cJ}\toηηη^{\prime}$ decays

Abstract

Based on a sample of $2.7\times10^{9}$ $ψ(3686)$ events collected by the BESIII detector operating at the BEPCII collider, an analysis of the decay $ψ(3686)\toγχ_{cJ}, χ_{cJ}\toηηη^{\prime}$ is performed. The decay modes $χ_{c1}$ and $χ_{c2}\toηηη^{\prime}$ are observed for the first time, and their corresponding branching fractions are determined to be $\mathcal{B}(χ_{c1}\toηηη^{\prime}) = (1.40\, \pm 0.13\, (\text{stat.}) \pm 0.09\, (\text{sys.})) \times 10^{-4}$ and $\mathcal{B}(χ_{c2}\toηηη^{\prime}) = (4.18\, \pm 0.84\, (\text{stat.}) \pm 0.48\, (\text{sys.})) \times 10^{-5}$. An upper limit on the branching fraction of $χ_{c0}\toηηη^{\prime}$ is set as $2.59 \times 10^{-5}$ at 90\% confidence level (CL). A partial wave analysis (PWA) of the decay $χ_{c1}\toηηη^{\prime}$ is performed to search for the $1^{-+}$ exotic state $η_1(1855)$. The PWA result indicates that the structure in the $ηη^{\prime}$ mass spectrum is mainly attributed to the $f_0(1500)$, while in the $ηη$ mass spectrum, it is primarily the $0^{++}$ phase space. The upper limit of $\mathcal{B}(χ_{c1}\toη_{1}(1855)η) \cdot \mathcal{B}(η_{1}(1855)\toηη^{\prime})< 9.79 \times 10^{-5}$ is set based on the PWA at 90\% CL.