Partial wave analysis of $J/\psi \to \gamma \eta {\eta }^{\prime }$

Abstract

Based on a sample of (10.09$\pm$0.04)$\times$10${}^9$ $J/\psi$ events collected with the BESIII detector operating at the BEPCII storage ring, a partial wave analysis of the decay $J/\psi \to \gamma \eta {\eta }^{\prime }$ is performed. An isoscalar state with exotic quantum numbers $J^{PC}=1^{-+}$, denoted as ${\eta }_1(1855)$, has been observed for the first time with statistical significance larger than 19$\sigma$. Its mass and width are measured to be (1855$\pm$9${}_{-1}^{+6}$)~MeV/$c^2$ and (188$\pm$18${}_{-8}^{+3}$)~MeV, respectively. The product branching fraction $\mathcal{B}(J/\psi$$\to$$\gamma {\eta }_1(1855)$$\to$$\gamma \eta {\eta }^{\prime })$ is measured to be (2.70$\pm 0.41_{-0.35}^{+0.16})\times$10${}^{-6}$. The first uncertainties are statistical and the second are systematic. In addition, an upper limit on the branching ratio $\mathcal{B}(f_0(1710)$$\to$$\eta {\eta }^{\prime })$/$\mathcal{B}(f_0(1710)$$\to$$\pi \pi )$ is determined to be $1.61\times 10^{-3}$ at 90\% confidence level, which lends support to the hypothesis that the $f_0(1710)$ has a large glueball component.

17 pages, 21 figures. arXiv admin note: text overlap with arXiv:2202.00621

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