English

Integral equations for three-body Coulombic resonances

Nuclear Theory 2009-10-31 v1

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\alpha system is solved.

Keywords

Cite

@article{arxiv.nucl-th/9909083,
  title  = {Integral equations for three-body Coulombic resonances},
  author = {Z. Papp and I. N. Filikhin and S. L. Yakovlev},
  journal= {arXiv preprint arXiv:nucl-th/9909083},
  year   = {2009}
}

Comments

9 pages, 1 EPS figure

R2 v1 2026-07-22T18:46:49.697Z