A note on Coulomb scattering amplitude

Abstract

The summation of the partial wave series for Coulomb scattering amplitude, $f^C(\theta )$ is avoided because the series is oscillatorily and divergent. Instead, $f^C(\theta )$ is obtained by solving the Schr{ö}dinger equation in parabolic cylindrical co-ordinates which is not a general method. Here, we show that a reconstructed series, $(1-\cos \theta {)}^2{f}^C(\theta )$, is both convergent and analytically summable.

6 pages