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Scattering Amplitude in second Born Approximation for the Yukawa potential

Physics Asked by Caute on May 15, 2021

Does anyone know where I can find the analytical expressions of the scattering amplitude in second Born Approximation for the Yukawa potential? I need it for the both cases of the method of partial waves and the Born series as defined to solve the Lippmann-Schwinger equation. In general the second term is unimportant being the Born Approximation very good in high-energy physics but it is not my case as I consider collisions in semiconductors. I would not like to waste time to calculate it as I presume that probably someone else has already done.

One Answer

7 years late, but I recently had the same question. Turns out you can get this expression in this lovely old paper by Dalitz: https://royalsocietypublishing.org/doi/abs/10.1098/rspa.1951.0085

Answered by twoform on May 15, 2021

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