The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term
Wei Gao-Feng(卫高峰)a)†, Chen Wen-Li(陈文利)b)‡, Wang Hong-Ying(王红英)a)\S, and Li Yuan-Yuan(李院院)a)\P
a Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, China; b Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
Abstract This paper finds the approximate analytical scattering state solutions of the arbitrary l-wave Schr?dinger equation for the generalized Hulthén potential by taking an improved new approximate scheme for the centrifugal term. The normalized analytical radial wave functions of the l-wave Schr?dinger equation for the generalized Hulthén potential are presented and the corresponding calculation formula of phase shifts is derived. Some useful figures are plotted to show the improved accuracy of the obtained results and two special cases for the standard Hulthén potential and Woods--Saxon potential are also studied briefly.
Received: 25 September 2008
Revised: 11 November 2008
Accepted manuscript online:
Wei Gao-Feng(卫高峰), Chen Wen-Li(陈文利), Wang Hong-Ying(王红英), and Li Yuan-Yuan(李院院) The scattering states of the generalized Hulthén potential with an improved new approximate scheme to the centrifugal term 2009 Chin. Phys. B 18 3663
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