A note on Coulomb scattering amplitude
Abstract
Description
The summation of the partial wave series for Coulomb scattering amplitude, $f^C(θ)$ is avoided because the series is oscillatorily and divergent. Instead, $f^C(θ)$ 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, $(1-\cosθ) ^2f^C(θ)$, is both convergent and analytically summable.
6 pages
6 pages