Potential splitting approach to multichannel Coulomb scattering: The driven Schrodinger equation formulation
2011 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 83, no 3, 032722- p.Article in journal (Refereed) Published
In this paper we suggest an approach for the multichannel Coulomb scattering problem. The Schrodinger equation for the problem is reformulated in the form of a set of inhomogeneous equations with a finite-range driving term. The boundary conditions at infinity for this set of equations have been proven to be purely outgoing waves. The formulation presented here is based on splitting the interaction potential into a finite-range core part and a long-range tail part. The conventional matching procedure coupled with the integral Lippmann-Schwinger equations technique is used in the formal theoretical basis of this approach. The reformulated scattering problem is suitable for application in the exterior complex scaling technique: the practical advantage is that after complex scaling, the problem is reduced to a boundary problem with zero boundary conditions. The Coulomb wave functions are used only at a single point; if this point is chosen to be at a sufficiently large distance, on using the asymptotic expansion of Coulomb functions, one may completely avoid the Coulomb functions in the calculations. The theoretical results are illustrated with numerical calculations for two models.
Place, publisher, year, edition, pages
2011. Vol. 83, no 3, 032722- p.
IdentifiersURN: urn:nbn:se:su:diva-69094DOI: 10.1103/PhysRevA.83.032722ISI: 000288944500012OAI: oai:DiVA.org:su-69094DiVA: diva2:475090
authorCount :42012-01-102012-01-102012-01-10Bibliographically approved