Abstract: | Based on a sample of $(1310.6 pm 10.5) imes 10^{6}$ $J/psi$ events
collected with the BESIII detector operating at the BEPCII storage ring, a
partial wave analysis of the decay $J/psi
ightarrow gamma phi phi$ is
performed in order to study the intermediate states. Results of the partial
wave analysis show that the structures are predominantly $0^{-+}$ states. The
existence of the $eta(2225)$ is confirmed, and its resonance parameters are
measured. Two additional pseudoscalar states, the $eta(2100)$ with a mass of
$2050_{-24}^{+30}{}_{-26}^{+75}$ MeV/$c^{2}$ and a width of
$250_{-30}^{+36}{}_{-164}^{+181}$ MeV/$c^{2}$ and the $X(2500)$ with a mass of
$2470_{-19}^{+15}{}_{-23}^{+101}$ MeV/$c^{2}$ and a width of
$230_{-35}^{+64}{}_{-33}^{+56}$ MeV/$c^{2}$, are observed. In addition to these
three pseudoscalar states, the scalar state $f_0(2100)$, and three tensor
states, the $f_2(2010)$, $f_2(2300)$ and $f_2(2340)$, are observed in the
process $J/psi
ightarrow gamma phiphi$. The product branching fractions
$cal B$($J/psi
ightarrow gamma X
ightarrow gamma phi phi$) are
reported. |