Born Approximation and Large-Momentum-Transfer Processes in Potential Scattering
Journal
Physical Review
Journal Volume
143
Journal Issue
4
Pages
1110-&
Date Issued
1966
Author(s)
Wu, Tt
Abstract
Several problems of nonrelativistic scattering by analytic potentials are studied, where both the energy and the momentum transfer are large. Specifically, we find asymptotically the reflection coefficients from the one-dimensional potentials Vex(1+ex)-2, Vex2(1+ex)-1, and Vexp(-x2), and the scattering amplitudes for their three-dimensional generalizations Ver(1+er)-2, Ver2(1+er)-1, and Vexp(-r2). The results are compared with these obtained from Born approximation, and it is found that the first Born approximation gives the correct answer asymptotically in the cases Vex2(1+ex)-1 and Ver2(1+er)-1, but not in the other cases. Conjectures about more general cases are also given. © 1966 The American Physical Society.
SDGs
Type
journal article