Faddeev-Merkuriev integral equations for atomic three-body resonances
arXiv:0810.3036 · doi:10.1088/0953-4075/42/4/044003
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
arXiv comment17 pages, 5 figures
References in corpus (7)
- Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions
- Pade approximation of the S-matrix as a way of locating quantum resonances and bound states
- Three-potential formalism for the three-body Coulomb scattering problem
- Resonant-state solution of the Faddeev-Merkuriev integral equations for three-body systems with Coulomb potentials
- Accumulation of three-body resonances above two-body thresholds
- On the Coulomb-Sturmian matrix elements of the Coulomb Green's operator
- Faddeev-Merkuriev equations for resonances in three-body Coulombic systems