Volume 111, Number 6, September 2015
|Number of page(s)||6|
|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
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