dorsal/arxiv
View SchemaNNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
| Authors | Sean Fleming, Thomas Mehen, Iain W. Stewart |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9911001 |
| URL | https://arxiv.org/abs/nucl-th/9911001 |
| DOI | 10.1016/S0375-9474(00)00221-9 |
| Journal | Nucl.Phys.A677:313-366,2000 |
Abstract
The 1S0, 3S1, and 3D1 nucleon-nucleon scattering phase shifts are calculated at next-to-next-to-leading order (NNLO) in an effective field theory. Predictions for the 1P1, 3P0, 3P1, 3P2, 1D2, 3D2, and 3D3 phase shifts at this order are also compared with data. The calculations treat pions perturbatively and include the NNLO contributions from order $Q_r^3$ and $Q_r^4$ radiation pion graphs. In the 3S1, 3D1, 3P0, and 3P2 channels we find large disagreement with the Nijmegen partial wave analysis at NNLO. These spin triplet channels have large corrections from graphs with two potential pion exchange which do not vanish in the chiral limit. We compare our results to calculations within the Weinberg approach, and find that in some spin triplet channels the summation of potential pion diagrams seems to be necessary to reproduce the observed phase shifts. In the spin singlet channels the nonperturbative treatment of potential pions does not afford a significant improvement over the perturbative approach.
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"abstract": "The 1S0, 3S1, and 3D1 nucleon-nucleon scattering phase shifts are calculated\nat next-to-next-to-leading order (NNLO) in an effective field theory.\nPredictions for the 1P1, 3P0, 3P1, 3P2, 1D2, 3D2, and 3D3 phase shifts at this\norder are also compared with data. The calculations treat pions perturbatively\nand include the NNLO contributions from order $Q_r^3$ and $Q_r^4$ radiation\npion graphs. In the 3S1, 3D1, 3P0, and 3P2 channels we find large disagreement\nwith the Nijmegen partial wave analysis at NNLO. These spin triplet channels\nhave large corrections from graphs with two potential pion exchange which do\nnot vanish in the chiral limit. We compare our results to calculations within\nthe Weinberg approach, and find that in some spin triplet channels the\nsummation of potential pion diagrams seems to be necessary to reproduce the\nobserved phase shifts. In the spin singlet channels the nonperturbative\ntreatment of potential pions does not afford a significant improvement over the\nperturbative approach.",
"arxiv_id": "nucl-th/9911001",
"authors": [
"Sean Fleming",
"Thomas Mehen",
"Iain W. Stewart"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(00)00221-9",
"journal_ref": "Nucl.Phys.A677:313-366,2000",
"title": "NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions",
"url": "https://arxiv.org/abs/nucl-th/9911001"
},
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