dorsal/arxiv
View SchemaShadowing and Antishadowing Effects in a Model for the n+d Total Cross Section
| Authors | Ch. Elster, W. Schadow, H. Kamada, W. Gloeckle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807015 |
| URL | https://arxiv.org/abs/nucl-th/9807015 |
| DOI | 10.1103/PhysRevC.58.3109 |
| Journal | Phys.Rev.C58:3109-3120,1998 |
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 two. Therefore, the enhancement effect resulting from rescattering is larger than the shadowing effect, which decreases faster with energy.
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"abstract": "Based on the multiple scattering series incorporated in the Faddeev scheme\nthe high energy limit of the total n+d cross section is evaluated in a\nnonrelativistic model system where spins are neglected. In contrast to the\nnaive expectation that the total n+d scattering cross section is the sum of two\nNN cross sections we find two additional effects resulting from rescattering\nprocesses. These additional terms have different signs (shadowing and\nantishadowing) and a different behavior as function of the energy. Our\nderivation of these results which are already known from Glauber theory is\nbased on the analytical evaluation of elastic transition amplitudes in the high\nenergy limit. It does not depend on the diffraction type assumptions connected\nwith Glauber theory. In this model of spinless Yukawa type forces (with no\nabsorption) the total n+d cross section does not approach twice the NN total\ncross section in the high energy limit but rather approaches the total NN cross\nsection multiplied by a number larger than two. Therefore, the enhancement\neffect resulting from rescattering is larger than the shadowing effect, which\ndecreases faster with energy.",
"arxiv_id": "nucl-th/9807015",
"authors": [
"Ch. Elster",
"W. Schadow",
"H. Kamada",
"W. Gloeckle"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.3109",
"journal_ref": "Phys.Rev.C58:3109-3120,1998",
"title": "Shadowing and Antishadowing Effects in a Model for the n+d Total Cross Section",
"url": "https://arxiv.org/abs/nucl-th/9807015"
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