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Generating Phase Shifts from Pseudostate Energy Shifts

2006/12/13 by J. Mitroy, M. W. J. Bromley
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Crystallography and Radiation Phenomena #High-pressure geophysics and materials #Muon and positron interactions and applications #physics.atom-ph

paper · pdf · doi:10.1103/physrevlett.98.173001

published as Phys.Rev.Lett. 98 (2007) 173001 · 4 pages, 4 figures

arxiv created 2006/12/13 · openalex publication_date 2007/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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 pseudostate to tune a semiempirical optical potential. The \ensuremathℓ=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.

Citations