dorsal/arxiv
View SchemaRenormalisation-group analysis of repulsive three-body systems
| Authors | Michael C. Birse |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509031 |
| URL | https://arxiv.org/abs/nucl-th/0509031 |
| DOI | 10.1088/0305-4470/39/2/L01 |
| Journal | J.Phys. A39 (2006) L49-L54 |
Abstract
A coordinate space approach, based on that used by Efimov, is applied to three-body systems with contact interactions between pairs of particles. In systems with nonzero orbital angular momentum or with asymmetric spatial wave functions, the hyperradial equation contains a repulsive 1/r^2 potential. The resulting wave functions are used in a renormalisation group analysis. This confirms Griesshammer's power counting for short-range three-body forces in these systems. The only exceptions are ones like the 4S channel for three nucleons, where any derivatives needed in the interaction are found to be already counted by the scaling with the cut-off.
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"abstract": "A coordinate space approach, based on that used by Efimov, is applied to\nthree-body systems with contact interactions between pairs of particles. In\nsystems with nonzero orbital angular momentum or with asymmetric spatial wave\nfunctions, the hyperradial equation contains a repulsive 1/r^2 potential. The\nresulting wave functions are used in a renormalisation group analysis. This\nconfirms Griesshammer\u0027s power counting for short-range three-body forces in\nthese systems. The only exceptions are ones like the 4S channel for three\nnucleons, where any derivatives needed in the interaction are found to be\nalready counted by the scaling with the cut-off.",
"arxiv_id": "nucl-th/0509031",
"authors": [
"Michael C. Birse"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0305-4470/39/2/L01",
"journal_ref": "J.Phys. A39 (2006) L49-L54",
"title": "Renormalisation-group analysis of repulsive three-body systems",
"url": "https://arxiv.org/abs/nucl-th/0509031"
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