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Shadowing and antishadowing effects in a model for then+dtotal cross section

1998/07/31 by Ch. Elster, W. Schadow, H. Kamada +2
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.58.3109

published as Phys.Rev.C58:3109-3120,1998 · 22 pages (LaTeX), 5 postscript figures included, revised version

arxiv created 1998/09/01 · openalex publication_date 1998/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

Based on the multiple scattering series incorporated in the Faddeev scheme the high-energy limit of the total n+d cross section is evaluated in a nonrelativistic model system where spins are neglected. In contrast to the naive expectation that the total n+d scattering cross section is the sum of two NN cross sections we find two additional effects resulting from rescattering processes. These additional terms have different signs (shadowing and antishadowing) and a different behavior as function of the energy. Our derivation of these results which are already known from Glauber theory is based on the analytical evaluation of elastic transition amplitudes in the high-energy limit. It does not depend on the diffraction-type assumptions connected with Glauber theory. In this model of spinless Yukawa type forces (with no absorption) the total n+d cross section does not approach twice the NN total cross section in the high-energy limit but rather approaches the total NN cross section multiplied by a number larger than 2. Therefore, the enhancement effect resulting from rescattering is larger than the shadowing effect, which decreases faster with energy.

Citations