Using Faddeev Differential Equations to Calculate Three-Body Resonances

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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LaTeX 2e (REVTeX style), 16 pages. Some corrections were made as well as figures were updated

Scientific paper

Algorithm, based on explicit representations for analytic continuation of the T-matrix Faddeev components on unphysical sheets, is worked out for calculations of resonances in the three-body quantum problem. According to the representations, poles of T-matrix, scattering matrix and Green function on unphysical sheets, interpreted as resonances, coincide with those complex energy values where appropriate truncations of the scattering matrix have zero as eigenvalue. Scattering amplitudes on the physical sheet, necessary to construct scattering matrix, are calculated on the basis of the Faddeev differential equations. The algorithm developed is applied to search for the resonances in the $nnp$ system and in a model three-boson system.

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