dorsal/arxiv
View SchemaTwo-body matrix elements of Pauli-projected excentric single-particle orbits
| Authors | K. Varga |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9309010 |
| URL | https://arxiv.org/abs/nucl-th/9309010 |
Abstract
We present explicit analytical formulae for two-body matrix elements between Pauli-projected single-particle orbits generated by gaussians shifted from the centre of a nuclear core, which is populated by nucleons occupying harmonic-oscillator orbits. Such shifted gaussian orbits appear in the generator-coordinate model of two-cluster systems and, as ingredients of generating functions, in the resonating group model as well. A Pauli projection is to be understood as a projection onto the subspace not occupied by the core nucleons. This is an exact procedure to take into account the Pauli principle in the limit in which the core is infinitely heavy, thus the procedure to be presented is very useful in the microscopic description of large-core plus small-cluster systems, such as involved in $\alpha$-decay problems.
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"abstract": "We present explicit analytical formulae for two-body matrix elements between\nPauli-projected single-particle orbits generated by gaussians shifted from the\ncentre of a nuclear core, which is populated by nucleons occupying\nharmonic-oscillator orbits. Such shifted gaussian orbits appear in the\ngenerator-coordinate model of two-cluster systems and, as ingredients of\ngenerating functions, in the resonating group model as well. A Pauli projection\nis to be understood as a projection onto the subspace not occupied by the core\nnucleons. This is an exact procedure to take into account the Pauli principle\nin the limit in which the core is infinitely heavy, thus the procedure to be\npresented is very useful in the microscopic description of large-core plus\nsmall-cluster systems, such as involved in $\\alpha$-decay problems.",
"arxiv_id": "nucl-th/9309010",
"authors": [
"K. Varga"
],
"categories": [
"nucl-th"
],
"title": "Two-body matrix elements of Pauli-projected excentric single-particle orbits",
"url": "https://arxiv.org/abs/nucl-th/9309010"
},
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"source": {
"execution_id": "de98dd3d-bc72-4920-967c-92f3d0612c86",
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"type": "Model",
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