  Inspired by the newly observed three scalar states $f_0(2020)$, $f_0(2330)$,
and $f_0(2470)$ by the BESII Collaboration in $J/\psi\to
\gamma\eta^\prime\eta^\prime$, we carried out the study of spectroscopic
behavior of these high-lying unflavored scalar mesonic states. In this work,
using the Regge trajectory analysis and the quark pair creation model, we
discussed the assignments of the $f_0(2020)$, $f_0(2330)$, and $f_0(2470)$
associated with the $f_0(2200)$ as the isoscalar high-lying scalar mesonic
states and predicted the spectroscopic properties of their high-lying partners.
The present study may provide valuable information for the construction of the
scalar meson family.
