Does an exotic 1(-+) hybrid candidate <(rho)over cap> (1405) in the vicinit
y of a(2) (1320) exist? It is worth to confirm this state in the process J/
Psi --> rho eta pi at the BEPC Beijing Electron-Positron Collider)/BES (Bei
jing Spectrameter). Considering <(rho)over cap> (1405), a(2) (1320) and a(o
) (1450) overlap in this mass region, the three-state coupling structure mo
de is discussed by using the generalized moment analysis method. A series o
f moments for the mode and a criterion are given for confirming the exotic
1(-+) hybrid.