dorsal/arxiv
View SchemaThe NN scattering 3S1-3D1 mixing angle at NNLO
| Authors | Sean Fleming, Thomas Mehen, Iain W. Stewart |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906056 |
| URL | https://arxiv.org/abs/nucl-th/9906056 |
| DOI | 10.1103/PhysRevC.61.044005 |
| Journal | Phys.Rev. C61 (2000) 044005 |
Abstract
The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, is calculated to next-to-next-to-leading order in an effective field theory with perturbative pions. Without pions, the low energy theory fits the observed epsilon_1 well for momenta less than $\sim 50$ MeV. Including pions perturbatively significantly improves the agreement with data for momenta up to $\sim 150$ MeV with one less parameter. Furthermore, for these momenta the accuracy of our calculation is similar to an effective field theory calculation in which the pion is treated non-perturbatively. This gives phenomenological support for a perturbative treatment of pions in low energy two-nucleon processes. We explain why it is necessary to perform spin and isospin traces in d dimensions when regulating divergences with dimensional regularization in higher partial wave amplitudes.
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"abstract": "The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, is\ncalculated to next-to-next-to-leading order in an effective field theory with\nperturbative pions. Without pions, the low energy theory fits the observed\nepsilon_1 well for momenta less than $\\sim 50$ MeV. Including pions\nperturbatively significantly improves the agreement with data for momenta up to\n$\\sim 150$ MeV with one less parameter. Furthermore, for these momenta the\naccuracy of our calculation is similar to an effective field theory calculation\nin which the pion is treated non-perturbatively. This gives phenomenological\nsupport for a perturbative treatment of pions in low energy two-nucleon\nprocesses. We explain why it is necessary to perform spin and isospin traces in\nd dimensions when regulating divergences with dimensional regularization in\nhigher partial wave amplitudes.",
"arxiv_id": "nucl-th/9906056",
"authors": [
"Sean Fleming",
"Thomas Mehen",
"Iain W. Stewart"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.61.044005",
"journal_ref": "Phys.Rev. C61 (2000) 044005",
"title": "The NN scattering 3S1-3D1 mixing angle at NNLO",
"url": "https://arxiv.org/abs/nucl-th/9906056"
},
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