dorsal/arxiv
View SchemaOn the usefulness of the spectral function concept
| Authors | J. Golak, H. Witala, R. Skibinski, W. Gloeckle, A. Nogga, H. Kamada |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403022 |
| URL | https://arxiv.org/abs/nucl-th/0403022 |
| DOI | 10.1103/PhysRevC.70.034005 |
Abstract
The usefulness of the spectral function S in the process 3He(e,e'N) has been investigated in a kinematical regime constrained by the conditions that the three-nucleon center-of-mass energy is less than 150 MeV and the magnitude of the three-momentum transfer smaller than 600 MeV/c. Results based on a full treatment of the final state interaction are compared to the spectral function approximation. In the case of proton knockout in the direction of the photon kinematical conditions have been identified where both response functions, RL and RT, can be well approximated by S. These conditions occur for certain low missing momenta and missing energies but not in all cases. So care is required. In case of neutron knockout only RT is a candidate for an approximate treatment by S. In the case of RL the concept of using S is not valid in the studied kinematical regime. This does not exclude the possibility that beyond that regime it might be useful. Possible applications using S for the extraction of electromagnetic form factors of the nucleons are pointed out.
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"abstract": "The usefulness of the spectral function S in the process 3He(e,e\u0027N) has been\ninvestigated in a kinematical regime constrained by the conditions that the\nthree-nucleon center-of-mass energy is less than 150 MeV and the magnitude of\nthe three-momentum transfer smaller than 600 MeV/c. Results based on a full\ntreatment of the final state interaction are compared to the spectral function\napproximation. In the case of proton knockout in the direction of the photon\nkinematical conditions have been identified where both response functions, RL\nand RT, can be well approximated by S. These conditions occur for certain low\nmissing momenta and missing energies but not in all cases. So care is required.\nIn case of neutron knockout only RT is a candidate for an approximate treatment\nby S. In the case of RL the concept of using S is not valid in the studied\nkinematical regime. This does not exclude the possibility that beyond that\nregime it might be useful. Possible applications using S for the extraction of\nelectromagnetic form factors of the nucleons are pointed out.",
"arxiv_id": "nucl-th/0403022",
"authors": [
"J. Golak",
"H. Witala",
"R. Skibinski",
"W. Gloeckle",
"A. Nogga",
"H. Kamada"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.034005",
"title": "On the usefulness of the spectral function concept",
"url": "https://arxiv.org/abs/nucl-th/0403022"
},
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