dorsal/arxiv
View SchemaApproximate Coulomb distortion effects in (e,e'p) reactions
| Authors | K. S. Kim, L. E. Wright |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503083 |
| URL | https://arxiv.org/abs/nucl-th/0503083 |
| DOI | 10.1103/PhysRevC.56.302 |
| Journal | Phys.Rev.C56:302,1997 |
Abstract
In this paper we apply a well-tested approximation of electron Coulomb distortion effects to the exclusive reaction (e,e'p) in the quasielastic region. We compare the approximate treatment of Coulomb distortion effects to the exact distorted wave Born approximation evaluated by means of partial wave analysis to gauge the quality of our approximate treatment. We show that the approximate M\"oller potential has a plane-wave-like structure and hence permits the separation of the cross section into five terms which depend on bilinear products of transforms of the transition four current elements. These transforms reduce to Fourier transforms when Coulomb distortion is not present, but become modified with the inclusion of Coulomb distortion. We investigate the application of the approximate formalism to a model of 208Pb(e,e'p) using Dirac-Hartree single particle wave functions for the ground state and relativistic optical model wave functions for the continuum proton. We show that it is still possible to extract, albeit with some approximation, the various structure functions from the experimentally measured data even for heavy nuclei.
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"abstract": "In this paper we apply a well-tested approximation of electron Coulomb\ndistortion effects to the exclusive reaction (e,e\u0027p) in the quasielastic\nregion. We compare the approximate treatment of Coulomb distortion effects to\nthe exact distorted wave Born approximation evaluated by means of partial wave\nanalysis to gauge the quality of our approximate treatment. We show that the\napproximate M\\\"oller potential has a plane-wave-like structure and hence\npermits the separation of the cross section into five terms which depend on\nbilinear products of transforms of the transition four current elements. These\ntransforms reduce to Fourier transforms when Coulomb distortion is not present,\nbut become modified with the inclusion of Coulomb distortion. We investigate\nthe application of the approximate formalism to a model of 208Pb(e,e\u0027p) using\nDirac-Hartree single particle wave functions for the ground state and\nrelativistic optical model wave functions for the continuum proton. We show\nthat it is still possible to extract, albeit with some approximation, the\nvarious structure functions from the experimentally measured data even for\nheavy nuclei.",
"arxiv_id": "nucl-th/0503083",
"authors": [
"K. S. Kim",
"L. E. Wright"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.302",
"journal_ref": "Phys.Rev.C56:302,1997",
"title": "Approximate Coulomb distortion effects in (e,e\u0027p) reactions",
"url": "https://arxiv.org/abs/nucl-th/0503083"
},
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