A note on Coulomb scattering amplitude

Abstract

The summation of the partial wave series for Coulomb scattering amplitude, fC(θ) is avoided because the series is oscillatorily and divergent. Instead, fC(θ) is obtained by solving the Schr\"odinger equation in parabolic cylindrical co-ordinates which is not a general method. Here, we show that a reconstructed series, (1-θ) 2fC(θ), is both convergent and analytically summable.

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