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Based on a sample of $2.25\times 10^{8}$ $J/\psi$ events collected with the BESIII detector at BEPCII, a full partial wave analysis on $J/\psi\to\gamma\eta\eta$ was performed using the relativistic covariant tensor amplitude method.
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We tested the following mesons listed in PDG 2012: f 2 ( 1270 ) f_{2}(1270) , f 0 ( 1370 ) f_{0}(1370) , f 2 ( 1430 ) f_{2}(1430) , f 0 ( 1500 ) f_{0}(1500) , f 2 ′ ( 1525 ) f_{2}^{{}^{\prime}}(1525) , f 2 ( 1565 ) f_{2}(1565) , f 2 ( 1640 ) f_{2}(1640) , f 0 ( 1710 ) f_{0}(1710) , f 2 ( 1810 ) f_{2}(1810) , f 2 ( 1910 ) f_{2}(1910) , f 2 ( 1950 ) f_{2}(1950) , f 2 ( 2010 ) f_{2}(2010) , f 0 ( 2020 ) f_{0}(2020) , f 4 ( 2050 ) f_{4}(2050) , f 0 ( 2100 ) f_{0}(2100) , f 2 ( 2150 ) f_{2}(2150) , f 0 ( 2200 ) f_{0}(2200) , f J ( 2220 ) f_{J}(2220) , f 2 ( 2300 ) f_{2}(2300) , f 4 ( 2300 ) f_{4}(2300) , f 0 ( 2330 ) f_{0}(2330) , f 2 ( 2340 ) f_{2}(2340)
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