Abstract
The two-body Coulomb Hamiltonian, in the Coulomb-Sturmian basis, has an infinite symmetric tridiagonal (Jacobi) matrix structure. This allows us to construct the Green’s operator in terms of 2F1 hypergeometric function, which can be evaluated by a continued fraction. Using this two-body Coulomb Green’s matrix, we developed an approximation method for solving Faddeev-type integral equations of the three-body Coulomb problem. The corresponding three-body Green’s operators are calculated as a convolution integral of the two-body Coulomb Green’s operators. As examples, the electron-hydrogen scattering and the resonances of the e-Ps system are presented.
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