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Integral equations for three-body Coulombic resonances

Z. Papp·I. N. Filikhin·S. L. Yakovlev
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Abstract

We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem. The resonances of the three-body system are defined as the complex-energy solutions of the homogeneous Faddeev integral equations. We show how the kernels of the integral equations should be continued analytically in order that we get resonances. As a numerical illustration a toy model for the three-$α$ system is solved.

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Z. Papp, I. N. Filikhin, S. L. Yakovlev. 1999-09-30. Integral equations for three-body Coulombic resonances. https://doi.org/10.1007/s006010170016

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