Three-potential formalism for the three-body Coulomb scattering problem

Abstract

We propose a three-potential formalism for the three-body Coulomb scattering problem. The corresponding integral equations are mathematically well-behaved and can succesfully be solved by the Coulomb-Sturmian separable expansion method. The results show perfect agreements with existing low-energy $n-d$ and $p-d$ scattering calculations.

Phys. Rev. C 55 March (1997), 19 pages, revtex, 1 postscript figure

Cited by in corpus (14)

• Three-potential formalism for the three-body scattering problem with attractive Coulomb interactions
• Unified treatment of the Coulomb and harmonic oscillator potentials in $D$ dimensions
• Green's matrix from Jacobi-matrix Hamiltonian
• Application of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates
• On the Coulomb-Sturmian matrix elements of the Coulomb Green's operator
• Continued fraction representation of the Coulomb Green's operator and unified description of bound, resonant and scattering states
• Electron-hydrogen scattering in Faddeev-Merkuriev integral equation approach
• Significance and properties of internucleon correlation functions
• Green's operator for Hamiltonians with Coulomb plus polynomial potentials
• Variational separable expansion scheme for two-body Coulomb-scattering problems
• Properties of a potential energy matrix in oscillator basis
• Approximations of potentials through the truncation of their inverses
• Faddeev-Merkuriev integral equations for atomic three-body resonances
• Calculation of Relativistic Single-Particle States