dorsal/arxiv
View SchemaOn the renormalization of the one-pion exchange potential and the consistency of Weinberg's power counting
| Authors | E. Epelbaum, U. -G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609037 |
| URL | https://arxiv.org/abs/nucl-th/0609037 |
| DOI | 10.1007/s00601-012-0492-1 |
| Journal | Few Body Syst. 54 (2013) 2175 - 2190 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Nogga, Timmermans and van Kolck recently argued that Weinberg's power counting in the few-nucleon sector is inconsistent and requires modifications. Their argument is based on the observed cutoff dependence of the nucleon-nucleon scattering amplitude calculated by solving the Lippmann-Schwinger equation with the regularized one-pion exchange potential and the cutoff Lambda varied in the range Lambda = 2...20 fm^(-1). In this paper we discuss the role the cutoff plays in the application of chiral effective field theory to the two-nucleon system and study carefully the cutoff-dependence of phase shifts and observables based on the one-pion exchange potential. We show that (i) there is no need to use the momentum-space cutoff larger than Lambda ~ 3 fm^(-1); (ii) the neutron-proton low-energy data show no evidence for an inconsistency of Weinberg's power counting if one uses Lambda ~ 3 fm^{-1}.
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"abstract": "Nogga, Timmermans and van Kolck recently argued that Weinberg\u0027s power\ncounting in the few-nucleon sector is inconsistent and requires modifications.\nTheir argument is based on the observed cutoff dependence of the\nnucleon-nucleon scattering amplitude calculated by solving the\nLippmann-Schwinger equation with the regularized one-pion exchange potential\nand the cutoff Lambda varied in the range Lambda = 2...20 fm^(-1). In this\npaper we discuss the role the cutoff plays in the application of chiral\neffective field theory to the two-nucleon system and study carefully the\ncutoff-dependence of phase shifts and observables based on the one-pion\nexchange potential. We show that (i) there is no need to use the momentum-space\ncutoff larger than Lambda ~ 3 fm^(-1); (ii) the neutron-proton low-energy data\nshow no evidence for an inconsistency of Weinberg\u0027s power counting if one uses\nLambda ~ 3 fm^{-1}.",
"arxiv_id": "nucl-th/0609037",
"authors": [
"E. Epelbaum",
"U. -G. Mei\u00dfner"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s00601-012-0492-1",
"journal_ref": "Few Body Syst. 54 (2013) 2175 - 2190",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On the renormalization of the one-pion exchange potential and the consistency of Weinberg\u0027s power counting",
"url": "https://arxiv.org/abs/nucl-th/0609037"
},
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