dorsal/arxiv
View SchemaImproved Convergence in the Three-Nucleon System at Very Low Energies
| Authors | Harald W. Griesshammer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404073 |
| URL | https://arxiv.org/abs/nucl-th/0404073 |
| DOI | 10.1016/j.nuclphysa.2004.08.012 |
| Journal | Nucl.Phys. A744 (2004) 192-226 |
Abstract
Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of the deuteron wave-function, a procedure known as Z-parameterisation and extended here to the three-nucleon system. The improvement is particularly striking in the doublet-S wave (triton) channel, where better agreement to potential-model calculations and better convergence from order to order in the power counting is achieved for momenta as high as \sim 120 MeV. Investigating the cut-off dependence of the phase-shifts, one confirms numerically the analytical finding that the first momentum-dependent three-body force enters at N2LO. The other partial waves converge also substantially faster. Effective-range parameters of the nd-system are determined, e.g. for the quartet-S-wave scattering length a_q=[6.35\pm0.02] fm, which compares favourably both in magnitude and uncertainty with recent high-precision potential-model determinations. Differential cross-sections up to E_{lab}\approx 15 MeV agree with data.
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"abstract": "Neutron-deuteron scattering in the context of ``pion-less\u0027\u0027 Effective Field\nTheory at very low energies is investigated to next-to-next-to-leading order.\nConvergence is improved by fitting the two-nucleon contact interactions to the\ntail of the deuteron wave-function, a procedure known as Z-parameterisation and\nextended here to the three-nucleon system. The improvement is particularly\nstriking in the doublet-S wave (triton) channel, where better agreement to\npotential-model calculations and better convergence from order to order in the\npower counting is achieved for momenta as high as \\sim 120 MeV. Investigating\nthe cut-off dependence of the phase-shifts, one confirms numerically the\nanalytical finding that the first momentum-dependent three-body force enters at\nN2LO. The other partial waves converge also substantially faster.\nEffective-range parameters of the nd-system are determined, e.g. for the\nquartet-S-wave scattering length a_q=[6.35\\pm0.02] fm, which compares\nfavourably both in magnitude and uncertainty with recent high-precision\npotential-model determinations. Differential cross-sections up to\nE_{lab}\\approx 15 MeV agree with data.",
"arxiv_id": "nucl-th/0404073",
"authors": [
"Harald W. Griesshammer"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.08.012",
"journal_ref": "Nucl.Phys. A744 (2004) 192-226",
"title": "Improved Convergence in the Three-Nucleon System at Very Low Energies",
"url": "https://arxiv.org/abs/nucl-th/0404073"
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