Issue |
EPL
Volume 111, Number 6, September 2015
|
|
---|---|---|
Article Number | 60004 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/111/60004 | |
Published online | 02 October 2015 |
A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential
Horia Hulubei National Institute for Nuclear Physics and Engineering - Bucharest, Romania
Received: 23 June 2015
Accepted: 14 September 2015
A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential is obtained. It is based on a new Ansatz of the form of the solution that uses an etalon function generated by the problem itself, rather than a special function. First the 3D WKB approximation of the scattering wave function for the non-central Coulomb-like potential is obtained. This approximation is valid on the whole range of the variables, except for the caustics. The uniform approximation eliminates the shortcoming of the 3D WKB approximation, being valid on the whole range of the variables, including the caustics. The scattering amplitude for the non-central Coulomb-like potential is obtained.
PACS: 03.65.Nk – Scattering theory / 34.50.-s – Scattering of atoms and molecules / 34.80.Bm – Elastic scattering
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.