dorsal/arxiv
View SchemaOn the correlation between the binding energies of the triton and the alpha-particle
| Authors | L. Platter, H. -W. Hammer, U. -G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409040 |
| URL | https://arxiv.org/abs/nucl-th/0409040 |
| DOI | 10.1016/j.physletb.2004.12.068 |
| Journal | Phys.Lett. B607 (2005) 254-258 |
Abstract
We consider the correlation between the binding energies of the triton and the alpha-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum mechanics approach for short-range interactions with large scattering length |a| >> l, where l is the natural low-energy length scale, we construct the effective interaction potential at leading order in l/|a|. In order to renormalize the four-nucleon system, it is sufficient to include a SU(4)-symmetric one-parameter three-nucleon interaction in addition to the S-wave nucleon-nucleon interactions. The absence of a four-nucleon force at this order explains the empirically observed correlation between the binding energies of the triton and the alpha-particle. We calculate this correlation and obtain a prediction for the alpha-particle binding energy. Corrections to our results are suppressed by l/|a|.
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"abstract": "We consider the correlation between the binding energies of the triton and\nthe alpha-particle which is empirically observed in calculations employing\ndifferent phenomenological nucleon-nucleon interactions. Using an effective\nquantum mechanics approach for short-range interactions with large scattering\nlength |a| \u003e\u003e l, where l is the natural low-energy length scale, we construct\nthe effective interaction potential at leading order in l/|a|. In order to\nrenormalize the four-nucleon system, it is sufficient to include a\nSU(4)-symmetric one-parameter three-nucleon interaction in addition to the\nS-wave nucleon-nucleon interactions. The absence of a four-nucleon force at\nthis order explains the empirically observed correlation between the binding\nenergies of the triton and the alpha-particle. We calculate this correlation\nand obtain a prediction for the alpha-particle binding energy. Corrections to\nour results are suppressed by l/|a|.",
"arxiv_id": "nucl-th/0409040",
"authors": [
"L. Platter",
"H. -W. Hammer",
"U. -G. Mei\u00dfner"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1016/j.physletb.2004.12.068",
"journal_ref": "Phys.Lett. B607 (2005) 254-258",
"title": "On the correlation between the binding energies of the triton and the alpha-particle",
"url": "https://arxiv.org/abs/nucl-th/0409040"
},
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