Resonant-state solution of the Faddeev-Merkuriev integral equations for three-body systems with Coulomb potentials

Abstract

A novel method for calculating resonances in three-body Coulombic systems is proposed. The Faddeev-Merkuriev integral equations are solved by applying the Coulomb-Sturmian separable expansion method. The $e^{-}{e}^{+}{e}^{-}$ S-state resonances up to $n=5$ threshold are calculated.

arXiv comment6 pages, 2 ps figures

References in corpus (5)

• Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions
• Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions
• Green's matrix from Jacobi-matrix Hamiltonian
• Three-potential formalism for the atomic three-body problem
• Integral equations for three-body Coulombic resonances

Cited by in corpus (6)

• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ 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
• Origin of three-body resonances
• Faddeev-Merkuriev integral equations for atomic three-body resonances