Faddeev-Merkuriev integral equations for atomic three-body resonances

Details Faddeev-Merkuriev integral equations for atomic three-body resonances Faddeev-Merkuriev integral equations for atomic three-body resonances

2008-10-16

arxiv.org/abs/0810.3036v1

Physics

Atomic Physics

17 pages, 5 figures

Scientific paper

10.1088/0953-4075/42/4/044003

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

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