Study on the Baryon state x produced in the process J/psi ->(p)over-bar + X,X ->Delta + pi

The existence of the new class of hadronic states, glueball, hybrid mesons and hybrid baryons, is one of the important prediction of the QCD. It is an excited and attractive research preject to search for and identify these non-q (q) over bar meson and non-qqq baryon states. The theoretical expectations on the mass spectrum of hybrid baryons have been carried out in the bag model, QCD sum rules and flux tube model. We might expect that J/psi hadronic decay processes are the good place to study hybrid baryons. The J/psi decay process J/psi-->(p) over bar + X, X-->Delta + pi, where (p) over bar and Delta are the antiproton and Delta baryon with spin-parity (3/2) (+) , respectively, are studied in terms of the angular distribution and the generalized moment analysis methods. Precise angular distribution and moment representation of baryon resonance (including the hybrid baryon) X with spin-parity (1/2) (+/-) , (3/2) (+/-) , and (5/2) (+/-) are obtained. They can be used to identify the spin of the baryon resonance state X.