  The moment expressions for the boson resonances X with spin-parity 0++, 1-+,
1++, and 2++ possibly produced in the process $J/\psi\to\rho X$, $X\to
b_1(1235)\pi$, $b_1\to \omega \pi$ are given in terms of the generalized moment
analysis method. The 1-+ resonance can be distinguished from other resonances
by means of these moments except for some rather special cases. The suggestion
that the search for the 1-+ hybrid can be performed in the above decay channel
at upgraded BEPC/BES is presented.
