Observation of a state $X(2600)$ in the $π^{+}π^{-}η'$ system in the process $J/ψ\rightarrowγπ^{+}π^{-}η'$

Based on $(10087\pm44)\times10^{6}$ $J/ψ$ events collected with the BESIII detector, the process $J/ψ\rightarrowγπ^{+}π^{-}η'$ is studied using two dominant decay channels of the $η'$ meson, $η'\rightarrowγπ^{+}π^{-}$ and $η'\rightarrowηπ^{+}π^{-},η\rightarrowγγ$. The $X(2600)$ is observed with a statistical significance larger than 20$σ$ in the $π^{+}π^{-}η'$ invariant mass spectrum, and it has a strong correlation to a structure around 1.5$~\mathrm{GeV}$/{\it c}$^{2}$ in the $π^{+}π^{-}$ invariant mass spectrum. A simultaneous fit on the $π^{+}π^{-}η'$ and $π^{+}π^{-}$ invariant mass spectra with the two $η'$ decay modes indicates that the mass and width of the $X(2600)$ state are $2617.8\pm2.1 ^{+18.2}_{-1.9}~\mathrm{MeV}$/{\it c}$^{2}$ and $200\pm8^{+20}_{-17}~\mathrm{MeV}$, respectively. The corresponding branching fractions are measured to be $B(J/ψ\rightarrowγX(2600))\cdot B(X(2600)\rightarrow f_{0}(1500)η')\cdot B(f_{0}(1500)\rightarrowπ^{+}π^{-})$ = ($3.39\pm0.18^{+0.91}_{-0.66})\times10^{-5}$ and $B(J/ψ\rightarrowγX(2600))\cdot B(X(2600)\rightarrow f_{2}^{'}(1525)η')\cdot B(f_{2}^{'}(1525)\rightarrowπ^{+}π^{-})$ = ($2.43\pm0.13^{+0.31}_{-1.11})\times10^{-5}$, where the first uncertainties are statistical, and the second systematic.
8 pages, 2 figures