dorsal/arxiv
View SchemaMany-body approach to proton emission and the role of spectroscopic factors
| Authors | Jim Al-Khalili, Carlo Barbieri, Jutta Escher, Byron K. Jennings, Jean-Marc Sparenberg |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0304055 |
| URL | https://arxiv.org/abs/nucl-th/0304055 |
| DOI | 10.1103/PhysRevC.68.024314 |
| Journal | Phys.Rev. C68 (2003) 024314 |
Abstract
The process of proton emission from nuclei is studied by utilizing the two-potential approach of Gurvitz and Kalbermann in the context of the full many-body problem. A time-dependent approach is used for calculating the decay width. Starting from an initial many-body quasi-stationary state, we employ the Feshbach projection operator approach and reduce the formalism to an effective one-body problem. We show that the decay width can be expressed in terms of a one-body matrix element multiplied by a normalization factor. We demonstrate that the traditional interpretation of this normalization as the square root of a spectroscopic factor is only valid for one particular choice of projection operator. This causes no problem for the calculation of the decay width in a consistent microscopic approach, but it leads to ambiguities in the interpretation of experimental results. In particular, spectroscopic factors extracted from a comparison of the measured decay width with a calculated single-particle width may be affected.
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"abstract": "The process of proton emission from nuclei is studied by utilizing the\ntwo-potential approach of Gurvitz and Kalbermann in the context of the full\nmany-body problem. A time-dependent approach is used for calculating the decay\nwidth. Starting from an initial many-body quasi-stationary state, we employ the\nFeshbach projection operator approach and reduce the formalism to an effective\none-body problem. We show that the decay width can be expressed in terms of a\none-body matrix element multiplied by a normalization factor. We demonstrate\nthat the traditional interpretation of this normalization as the square root of\na spectroscopic factor is only valid for one particular choice of projection\noperator. This causes no problem for the calculation of the decay width in a\nconsistent microscopic approach, but it leads to ambiguities in the\ninterpretation of experimental results. In particular, spectroscopic factors\nextracted from a comparison of the measured decay width with a calculated\nsingle-particle width may be affected.",
"arxiv_id": "nucl-th/0304055",
"authors": [
"Jim Al-Khalili",
"Carlo Barbieri",
"Jutta Escher",
"Byron K. Jennings",
"Jean-Marc Sparenberg"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.68.024314",
"journal_ref": "Phys.Rev. C68 (2003) 024314",
"title": "Many-body approach to proton emission and the role of spectroscopic factors",
"url": "https://arxiv.org/abs/nucl-th/0304055"
},
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