Multiple production of η-mesons and pomeron-gluonium duality

Abstract

Multiple production of η-mesons is considered in the framework of approach based on the topological 1/N expansion. As the low energy resonance ηη-amplitudes are governed by the instanton induced interaction in theJ ^P =0⁻,0⁺-channels, the high energyt-channel ηη-amplitudes are assumed to decouple from secondary reggeons, and to be connected via duality with the gluonium resonance amplitudes in thes-channel. The relevant duality diagrams are essentially nonplanar ones. We demonstrate that this fact combined with increase of the mass scale 1/α _R ^′ ≃1 GeV², typical of “classical” resonance, to 1/α _P ^′ ≃3-5 GeV², the mass scale for gluonium physics, explains the observed hindrance of the η-mesons production at moderate, ∼10²GeV, energies and the onset of a copious production in the\(Sp\bar pS\)-collider energy range.