Relativistic isobar model: Spinless particles

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Abstract
Three-body unitarity imposes constraints on isobar amplitudes when different resonance pairs interact. We develop a set of relativistic integral equations which incorporate these constraints together with analyticity. The subenergy dependence of the isobar amplitudes predicted by these equations could be an important ingredient of phenomenological analyses using the isobar model. We point out possible applications and discuss the danger of imposing unitarity without analyticity.