On Recent Analytical Results for Solution of the Scattering Problem for the Sharply Screened Coulomb Potential

Yakovlev, S. L.; Gradusov, V. A.; Volkov, Mikhail V.

doi:10.1007/s00601-013-0758-2

Cited by 1 publication

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We have also derived the function U R (r 1 , r 2 ) (21) which shows the exact effect of the potential cut-off and can be used as the estimation for inaccuracy caused by the potential cut-off at large distances in the exterior complex scaling approach. The developed approach can also be generalized for higher partial waves using the results for the three-dimensional sharp screening [31,32]. This work as well as development of towards many channel quantum scattering of charged diatomic molecules against atomic ions are in progress.…”

Section: Discussionmentioning

confidence: 99%

“…This function can be used for estimation of the non-point structure of the target in the incoming asymptotic channel. Without principal changes, the developed approach can be generalized for higher partial waves using the results for the three-dimensional sharp screening [34,35]. This work is in progress.…”

Section: Discussionmentioning

confidence: 99%

“…Figure 4 displays the same cross section as a function of the number of projected states M in (35) for different values of the splitting radius R. The cross section decreases with the increase in the number of projected states, and increases with increasing splitting radius.…”

Section: Electron-hydrogen Scatteringmentioning

confidence: 99%

See 2 more Smart Citations

Potential-splitting approach applied to the Temkin–Poet model for electron scattering off the hydrogen atom and the helium ion

Yarevsky

Yakovlev

Larson

et al. 2015

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

The study of scattering processes in few body systems is a difficult problem especially if long range interactions are involved. In order to solve such problems, we develop here a potential-splitting approach for three-body systems. This approach is based on splitting the reaction potential into a finite range core part and a long range tail part. The solution to the Schrödinger equation for the long range tail Hamiltonian is found analytically, and used as an incoming wave in the three body scattering problem. This reformulation of the scattering problem makes it suitable for treatment by the exterior complex scaling technique in the sense that the problem after the complex dilation is reduced to a boundary value problem with zero boundary conditions. We illustrate the method with calculations on the electron scattering off the hydrogen atom and the positive helium ion in the frame of the Temkin-Poet model.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%