Effective Lagrangians and IG(JPC)=1-(1-+) exotic resonance state in the VP and the PP channel

For I-G(J(PC)) = 1(-)(1(-+)) exotic waves in the reactions rhopi --> rhopi, rhopi --> etapi, rhopi --> eta'pi, and rhopi --> (K*(K) over bar + (K) over bar *K) and in allied reactions, a model is constructed that satisfies the conditions of unitarity and analyticity and which employs, as an input, an "anomalous" nondiagonal VPPP interaction relating the rhopi, etapi, eta'pi, and K*(K) over bar + (K) over bar *K channels. The possibility of obtaining, within this simple field-theoretical ;odel, a resonance behavior of the I-G(J(PC)) = 1(-)(1(-+)) amplitudes corresponding to the {10} - {10} and {8} representations of the SU(3) group and their mixing is demonstrated explicitly in the mass range 1.3-1.6 GeV, where data of present-day experiments suggest a rich exoticism. (C) 2002 MAIK "Nauka/Interperiodica".