The Coulomb phase shift revisited

Details The Coulomb phase shift revisited The Coulomb phase shift revisited

2009-12-16

arxiv.org/abs/0912.3189v2

Physics

Mathematical Physics

13 pages, 5 figures, 1 table

Scientific paper

We investigate the Coulomb phase shift, and derive and analyze new and more precise analytical formulae. We consider next to leading order terms to the Stirling approximation, and show that they are important at small values of the angular momentum $l$ and other regimes. We employ the uniform approximation. The use of our expressions in low energy scattering of charged particles is discussed and some comparisons are made with other approximation methods.

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