Generating phase shifts from pseudo state energy shifts

Details Generating phase shifts from pseudo state energy shifts Generating phase shifts from pseudo state energy shifts

2006-12-13

arxiv.org/abs/physics/0612115v1

Phys.Rev.Lett. 98 (2007) 173001

Physics

Atomic Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.98.173001

A simple way to generate low energy phase shifts for elastic scattering using bound-state calculations is postulated, validated and applied to the problem of e+ - Mg scattering. The essence of the method is to use the energy shift between a small reference calculation and the largest possible calculation of the lowest energy pseudo-state to tune a semi-empirical optical potential. The L = 1 partial wave for e+ - Mg scattering is predicted to have a shape resonance at an energy of about 0.13 eV. The value of Zeff at the center of the resonance is about 1500.

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