dorsal/arxiv
View SchemaThe two-nucleon system at next-to-next-to-next-to-leading order
| Authors | E. Epelbaum, W. Glöckle, Ulf-G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405048 |
| URL | https://arxiv.org/abs/nucl-th/0405048 |
| DOI | 10.1016/j.nuclphysa.2004.09.107 |
| Journal | Nucl.Phys.A747:362-424,2005 |
Abstract
We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N^3LO is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation.
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"abstract": "We consider the two-nucleon system at next-to-next-to-next-to-leading order\n(N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO\nconsists of one-, two- and three-pion exchanges and a set of contact\ninteractions with zero, two and four derivatives. In addition, one has to take\ninto account various isospin-breaking and relativistic corrections. We employ\nspectral function regularization for the multi-pion exchanges. Within this\nframework, it is shown that the three-pion exchange contribution is negligibly\nsmall. The low-energy constants (LECs) related to pion-nucleon vertices are\ntaken consistently from studies of pion-nucleon scattering in chiral\nperturbation theory. The total of 26 four-nucleon LECs has been determined by a\ncombined fit to some np and pp phase shifts from the Nijmegen analysis together\nwith the nn scattering length. The description of nucleon-nucleon scattering\nand the deuteron observables at N^3LO is improved compared to the one at NLO\nand NNLO. The theoretical uncertainties in observables are estimated based on\nthe variation of the cut-offs in the spectral function representation of the\npotential and in the regulator utilized in the Lippmann-Schwinger equation.",
"arxiv_id": "nucl-th/0405048",
"authors": [
"E. Epelbaum",
"W. Gl\u00f6ckle",
"Ulf-G. Mei\u00dfner"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1016/j.nuclphysa.2004.09.107",
"journal_ref": "Nucl.Phys.A747:362-424,2005",
"title": "The two-nucleon system at next-to-next-to-next-to-leading order",
"url": "https://arxiv.org/abs/nucl-th/0405048"
},
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