dorsal/arxiv
View SchemaBenchmark Calculations for the Triton Binding Energy for Modern NN Forces and the pi-pi Exchange Three-Nucleon Force
| Authors | A. Nogga, D. Hueber, H. Kamada, W. Gloeckle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9704001 |
| URL | https://arxiv.org/abs/nucl-th/9704001 |
| DOI | 10.1016/S0370-2693(97)00841-1 |
| Journal | Phys.Lett.B409:19-25,1997 |
Abstract
We present high precision benchmark calculations for the triton binding energy using the most recent, phase equivalent realistic nucleon-nucleon (NN) potentials and the Tuscon-Melbourne pi-pi three-nucleon force (3NF). That 3NF is included with partial waves up to a total two-body angular momentum of j_max=6. It is shown that the inclusion of the 3NF slows down the convergence in the partial waves and j_max=5 is needed in order to achieve converged results within a few keV. We adjust the cut-off parameter Lambda in the form factors of the Tuscon-Melbourne 3NF separately for the different NN potentials to the triton binding energy. This provides a set of phenomenological three-nucleon Hamiltonians which can be tested in three-nucleon scattering and systems with A>3. A connection between the probability to find two nucleons at short distances in the triton and the effect of that 3NF on the triton binding energy is pointed out.
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"abstract": "We present high precision benchmark calculations for the triton binding\nenergy using the most recent, phase equivalent realistic nucleon-nucleon (NN)\npotentials and the Tuscon-Melbourne pi-pi three-nucleon force (3NF). That 3NF\nis included with partial waves up to a total two-body angular momentum of\nj_max=6. It is shown that the inclusion of the 3NF slows down the convergence\nin the partial waves and j_max=5 is needed in order to achieve converged\nresults within a few keV. We adjust the cut-off parameter Lambda in the form\nfactors of the Tuscon-Melbourne 3NF separately for the different NN potentials\nto the triton binding energy. This provides a set of phenomenological\nthree-nucleon Hamiltonians which can be tested in three-nucleon scattering and\nsystems with A\u003e3. A connection between the probability to find two nucleons at\nshort distances in the triton and the effect of that 3NF on the triton binding\nenergy is pointed out.",
"arxiv_id": "nucl-th/9704001",
"authors": [
"A. Nogga",
"D. Hueber",
"H. Kamada",
"W. Gloeckle"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0370-2693(97)00841-1",
"journal_ref": "Phys.Lett.B409:19-25,1997",
"title": "Benchmark Calculations for the Triton Binding Energy for Modern NN Forces and the pi-pi Exchange Three-Nucleon Force",
"url": "https://arxiv.org/abs/nucl-th/9704001"
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