A proposal on the search for the hybrid with $I^G(J^{PC})=1^-(1^{-+})$ in the process $J/\psi\to\rho\omega\pi\pi$ at upgraded BEPC/BES

Abstract

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.