In the framework of the 3 P0 meson decay model, the strong decays of the 3 1 S0 and 4 1 S0 s¯s states are investigated. It is found that in the presence of the initial state mass being 2.24 GeV, the total widths of the 3 1 S0 and 4 1 S0 s¯s states are about 438 MeV and 125 MeV, respectively. Also, when the initial state mass varies from 2220 to 2400 MeV, the total width of the 4 1 S0 s¯s state changes from about 100 MeV to 132 MeV, while the total width of the 3 1 S0 s¯s changes from about 400 MeV to 594 MeV. A comparison of the predicted widths and the experimental result of (0.19 ± 0.03 +0.04 −0.06) GeV, the width of the η(2225) with a mass of (2.24 +0.03+0.03 −0.02−0.02) GeV recently observed by BES Collaboration in the radiative decay J/ψ → γφφ → γK + K−K 0 SK0 L, suggests that it would be very difficult to identify the η(2225) as the 3 1 S0 s¯s, and the η(2225) seams a good candidate for the 4 1 S0 s¯s state
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