Resonance-like structure in (p)over-bar-p annihilation into three pi and pi pi correlations

Experimental data on (p) over bar p annihilation into 3 pi(0) and pi(+)pi(0) pi(-) are analyzed in the quark-pair-creation model (P-3(0) Model) with planar quark-diagram topology. There are two form factors depending on whether (1) the two pi's contain a quark or an antiquark that originates from a p or a (p) over bar respectively, or (2) one pi contains a quark and an antiquark both created from the vacuum. We refer to the amplitude of the former as a G-type amplitude and to the latter as an F-type amplitude. Intermediate states in G-type processes that contain correlations of the P-3(0) vertices in the initial state and those in the final state can be regarded as gluons of 0(++) and a (q) over bar q. The two pi resonance-like structure of O++(1520) observed in 3 pi(0) and 2(++) observed in pi(+)pi(0) pi(-) can be interpreted as the interference of the G-type amplitudes with the F-type amplitudes. Application of the model to other three-meson final states and the role of the gluonic degrees of freedom in (N) over bar N annihilation into mesons in the quark-pair-creation model (in comparison with the lattice Monte Carlo approach) are also discussed.