Potential splitting approach to multichannel Coulomb scattering: the driven Schrödinger equation formulation
(English)Article in journal (Refereed) Submitted
In this paper we suggest a new approach for the multichannel Coulomb scattering problem. TheSchr¨odinger equation for the problem is reformulated in the form of a set of inhomogeneous equationswith a finite-range driving term. The boundary conditions at infinity for this set of equations havebeen proven to be purely outgoing waves. The formulation presented here is based on splittingthe interaction potential into a finite range core part and a long range tail part. The conventionalmatching procedure coupled with the integral Lippmann-Schwinger equations technique are usedin the formal theoretical basis of this approach. The reformulated scattering problem is suitablefor application in the exterior complex scaling technique: the practical advantage is that after thecomplex scaling the problem is reduced to a boundary problem with zero boundary conditions. TheCoulomb wave functions are used only at a single point: if this point is chosen to be at a sufficientlylarge distance, on using the asymptotic expansion of Coulomb functions, one may completely avoidthe Coulomb functions in the calculations. The theoretical results are illustrated with numericalcalculations for two models.
Atom and Molecular Physics and Optics
Research subject Physics
IdentifiersURN: urn:nbn:se:su:diva-54830OAI: oai:DiVA.org:su-54830DiVA: diva2:398396
FunderSwedish Research Council