The Coulomb phase shift revisited

Abstract

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.

13 pages, 5 figures, 1 table

References in corpus (1)

• Transverse Isotropy in Identical Particle Scattering

Cited by in corpus (6)

• Diffraction of light by the gravitational field of the Sun and the solar corona
• Relativistic calculations of angular dependent photoemission time delay
• Diffraction of electromagnetic waves by an extended gravitational lens
• Gravitational lensing by an extended mass distribution
• Shape resonances in photoionization cross sections and time delay
• Attosecond Time Delays at Cooper Minima in Valence-Shell Photoionization of Alkali and Alkaline-Earth Metal Atoms