dorsal/arxiv
View SchemaInclusion of virtual nuclear excitations in the formulation of the (e,e'N)
| Authors | G. H. Rawitscher |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9802023 |
| URL | https://arxiv.org/abs/nucl-th/9802023 |
| DOI | 10.1103/PhysRevC.56.2029 |
| Journal | Phys.Rev.C56:2029-2040,1997 |
Abstract
A wave-function framework for the theory of the (e,e'N) reaction is presented in order to justify the use of coupled channel equations in the usual Feynman matrix element. The overall wave function containing the electron and nucleon coordinates is expanded in a basis set of eigenstates of the nuclear Hamiltonian, which contain both bound states as well as continuum states.. The latter have an ingoing nucleon with a variable momentum Q incident on the daughter nucleus as a target, with as many outgoing channels as desirable. The Dirac Eqs. for the electron part of the wave function acquire inhomogeneous terms, and require the use of distorted electron Green's functions for their solutions. The condition that the asymptotic wave function contain only the appropriate momentum Q_k for the outgoing nucleon, which corresponds to the electron momentum k through energy conservation, is achieved through the use of the steepest descent saddle point method, commonly used in three-body calculations.
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"abstract": "A wave-function framework for the theory of the (e,e\u0027N) reaction is presented\nin order to justify the use of coupled channel equations in the usual Feynman\nmatrix element. The overall wave function containing the electron and nucleon\ncoordinates is expanded in a basis set of eigenstates of the nuclear\nHamiltonian, which contain both bound states as well as continuum states.. The\nlatter have an ingoing nucleon with a variable momentum Q incident on the\ndaughter nucleus as a target, with as many outgoing channels as desirable. The\nDirac Eqs. for the electron part of the wave function acquire inhomogeneous\nterms, and require the use of distorted electron Green\u0027s functions for their\nsolutions. The condition that the asymptotic wave function contain only the\nappropriate momentum Q_k for the outgoing nucleon, which corresponds to the\nelectron momentum k through energy conservation, is achieved through the use of\nthe steepest descent saddle point method, commonly used in three-body\ncalculations.",
"arxiv_id": "nucl-th/9802023",
"authors": [
"G. H. Rawitscher"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.2029",
"journal_ref": "Phys.Rev.C56:2029-2040,1997",
"title": "Inclusion of virtual nuclear excitations in the formulation of the (e,e\u0027N)",
"url": "https://arxiv.org/abs/nucl-th/9802023"
},
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