dorsal/arxiv
View SchemaA Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory
| Authors | C. H. Hyun, T. -S. Park, D. -P. Min |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9908073 |
| URL | https://arxiv.org/abs/nucl-th/9908073 |
| DOI | 10.1016/S0370-2693(99)01487-2 |
| Journal | Phys.Lett.B473:6-12,2000 |
Abstract
We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible diagrams -- or potential -- figuring at NLO is found to be important in enlarging the domain of validity of the effective field theory. We are able to reproduce the {\it empirical} scattering phase shift up to p=300 MeV -- which is comparable to the cutoff scale involved -- with an agreement which is superior to results of other effective field theory approaches. We also discuss the role of the cutoff as a renormalization prescription and the importance of the explicit pion degree of freedom in scattering process.
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"abstract": "We report a next-to-leading-order (NLO) chiral perturbation theory\ncalculation of the neutron-proton scattering cross section in the ${}^1S_0$\nchannel using a cut-off regularization. The inclusion of two-pion exchanges in\nthe irreducible diagrams -- or potential -- figuring at NLO is found to be\nimportant in enlarging the domain of validity of the effective field theory. We\nare able to reproduce the {\\it empirical} scattering phase shift up to p=300\nMeV -- which is comparable to the cutoff scale involved -- with an agreement\nwhich is superior to results of other effective field theory approaches. We\nalso discuss the role of the cutoff as a renormalization prescription and the\nimportance of the explicit pion degree of freedom in scattering process.",
"arxiv_id": "nucl-th/9908073",
"authors": [
"C. H. Hyun",
"T. -S. Park",
"D. -P. Min"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0370-2693(99)01487-2",
"journal_ref": "Phys.Lett.B473:6-12,2000",
"title": "A Higher-Order Calculation of $np$ Scattering in Cut-Off Effective Field Theory",
"url": "https://arxiv.org/abs/nucl-th/9908073"
},
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