dorsal/arxiv
View SchemaNuclear Medium Effects in the Relativistic Treatment of Quasifree Electron Scattering
| Authors | M. Hedayati-Poor, J. I. Johansson, H. S. Sherif |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9501036 |
| URL | https://arxiv.org/abs/nucl-th/9501036 |
| DOI | 10.1103/PhysRevC.51.2044 |
| Journal | Phys.Rev.C51:2044-2053,1995 |
Abstract
Non-relativistic reduction of the S-matrix for the quasifree electron scattering process $A\left(~e, e'p~\right)A-1$ is studied in order to understand the source of differences between non-relativistic and relativistic models. We perform an effective Pauli reduction on the relativistic expression for the S-matrix in the one-photon exchange approximation. The reduction is applied to the nucleon current only; the electrons are treated fully relativistically. An expansion of the amplitude results in a power series in the nuclear potentials. The series is found to converge rapidly only if the nuclear potentials are included in the nuclear current operator. The results can be cast in a form which reproduces the non-relativistic amplitudes in the limit that the potentials are removed from the nuclear current operator. Large differences can be found between calculations which do and do not include the nuclear potentials in the different orders of the nuclear current operator. In the high missing momentum region we find that the non-relativistic calculations with potentials included in the nuclear current up to second order give results which are close to those of the fully relativistic calculation. This behavior is an indication of the importance of the medium modifications of the nuclear currents in this model, which are naturally built into the relativistic treatment of the reaction.
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"abstract": "Non-relativistic reduction of the S-matrix for the quasifree electron\nscattering process $A\\left(~e, e\u0027p~\\right)A-1$ is studied in order to\nunderstand the source of differences between non-relativistic and relativistic\nmodels. We perform an effective Pauli reduction on the relativistic expression\nfor the S-matrix in the one-photon exchange approximation. The reduction is\napplied to the nucleon current only; the electrons are treated fully\nrelativistically. An expansion of the amplitude results in a power series in\nthe nuclear potentials. The series is found to converge rapidly only if the\nnuclear potentials are included in the nuclear current operator. The results\ncan be cast in a form which reproduces the non-relativistic amplitudes in the\nlimit that the potentials are removed from the nuclear current operator. Large\ndifferences can be found between calculations which do and do not include the\nnuclear potentials in the different orders of the nuclear current operator. In\nthe high missing momentum region we find that the non-relativistic calculations\nwith potentials included in the nuclear current up to second order give results\nwhich are close to those of the fully relativistic calculation. This behavior\nis an indication of the importance of the medium modifications of the nuclear\ncurrents in this model, which are naturally built into the relativistic\ntreatment of the reaction.",
"arxiv_id": "nucl-th/9501036",
"authors": [
"M. Hedayati-Poor",
"J. I. Johansson",
"H. S. Sherif"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.51.2044",
"journal_ref": "Phys.Rev.C51:2044-2053,1995",
"title": "Nuclear Medium Effects in the Relativistic Treatment of Quasifree Electron Scattering",
"url": "https://arxiv.org/abs/nucl-th/9501036"
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