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A note on Coulomb scattering amplitude

Zafar Ahmed
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Abstract

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.

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Zafar Ahmed. 2003-10-03. A note on Coulomb scattering amplitude. https://arxiv.org/abs/quant-ph/0310019

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