Asymptotic solution of an anisotropic scattering potential

Authors

  • Denny Lane B. Sombillo National Institute of Physics, University of the Philippines Diliman
  • Neris D. Ilano National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

An example of a long-ranged anisotropic scattering potential is investigated in this paper. Using the known properties of the confluent hypergeometric function and by applying the Liouville-Green approximation, we were able to solve the Schrödinger equation asymptotically. From the resulting far-field form of the wave function, the differential scattering cross section is obtained. We have found that the latter is different compared with that of the Coulomb scattering in terms of incident energy. For our potential which behaves as r−1/2, the resulting differential scattering cross section behaves as E−4, while for a Coulombic potential which varies as r−1 we will get E−2.

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Issue

Article ID

SPP-2009-5C-01

Section

Theoretical Physics

Published

2009-10-28

How to Cite

[1]
DLB Sombillo, ND Ilano, and EA Galapon, Asymptotic solution of an anisotropic scattering potential, Proceedings of the Samahang Pisika ng Pilipinas 27, SPP-2009-5C-01 (2009). URL: https://proceedings.spp-online.org/article/view/SPP-2009-5C-01.