Faddeev-Merkuriev integral equations for atomic three-body resonances
Atomic Physics
2009-11-13 v1
Abstract
Three-body resonances in atomic systems are calculated as complex-energy solutions of Faddeev-type integral equations. The homogeneous Faddeev-Merkuriev integral equations are solved by approximating the potential terms in a Coulomb-Sturmian basis. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green's operator has been calculated as a contour integral of two-body Coulomb Green's matrices. This approximation casts the integral equation into a matrix equation and the complex energies are located as the complex zeros of the Fredholm determinant. We calculated resonances of the e-Ps system at higher energies and for total angular momentum L=1 with natural and unnatural parity
Cite
@article{arxiv.0810.3036,
title = {Faddeev-Merkuriev integral equations for atomic three-body resonances},
author = {S Keller and A Marotta and Z Papp},
journal= {arXiv preprint arXiv:0810.3036},
year = {2009}
}
Comments
17 pages, 5 figures