USING FADDEEV DIFFERENTIAL-EQUATIONS TO CALCULATE 3-BODY RESONANCES

A formalism is developed for calculating resonances in the quantum thr ee-body problem. The formalism is based on explicit representations fo r the analytic continuation of the Faddeev components of the three-bod y T matrix to unphysical sheets of the Riemann energy surface. Accordi ng to these representations, poles that the T matrix, the scattering m atrix, and Green's functions develop on unphysical sheets and which ar e interpreted as resonances coincide with the energy values at which t he appropriate truncations of the scattering matrix on the physical sh eet have zero eigenvalue. Reaction amplitudes on the physical sheet th at are necessary for constructing the scattering matrix are calculated with the aid of the Faddeev differential equations. The proposed form alism is used to seek resonances in the nnp system and in a model thre e-boson system.