Numerical convergence study of the orthogonalized multi-channels approach to three-body Coulomb scattering below breakup threshold

Coulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions

“…Beyond the studies of the method in systems with two-body asymptotics conducted before [8][9][10][11], we have now demonstrated its convergence properties and efficiency in (benchmark) calculations of the three-body bound-state problem without and with Coulomb interactions. In both cases the solution of the Faddeev equations show a rapid convergence, and, whenever a comparison is possible to existing results in the literature, correct predictions for the binding energies and wave functions are achieved.…”

“…However, the method is also applicable for scattering problems. In this regard it has been proven useful already in the two-body case [9][10][11]. To solve the corresponding problem for a (charged) three-body system with the Faddeev equations some technical details in connection with the evaluation of the then occurring matrix elements still need to be worked out.…”

“…Not only bound and resonant states with a variety of short-range plus Coulomb potentials [8] were investigated but also scattering solutions were obtained [9]. In these works also convergence studies were performed and subsequently extended to the multichannel Coulomb problem [11]. Computer codes for the CS separable expansion of any local or nonlocal two-body interaction under the presence of Coulomb-like potentials were published in ref.…”

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

“…In the past few years along this idea we have developed a quantum-mechanical approximation method for treating Coulomb-like interactions in two-body calculations. Boundand resonant-state calculations were presented first [14], then the method was extended to scattering states [15] and multichannel problems [16]. Since only the asymptotically irrelevant short range interaction is approximated, the correct (two-body) Coulomb asymptotics is guaranteed.…”