Integral equations for three-body Coulombic resonances

Details Integral equations for three-body Coulombic resonances Integral equations for three-body Coulombic resonances

1999-09-30

arxiv.org/abs/nucl-th/9909083v1

Few Body Syst.Suppl. 99 (1999) 1; Few Body Syst. 30 (2001) 31-37

Physics

Nuclear Physics

Nuclear Theory

9 pages, 1 EPS figure

Scientific paper

10.1007/s006010170016

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-$\alpha$ system is solved.

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