dorsal/arxiv
View SchemaSystematic Power Counting in Cutoff Effective Field Theories for Nucleon-Nucleon Interactions and the Equivalence With PDS
| Authors | Thomas D. Cohen, James M. Hansen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808006 |
| URL | https://arxiv.org/abs/nucl-th/9808006 |
| DOI | 10.1016/S0370-2693(98)01180-0 |
| Journal | Phys.Lett. B440 (1998) 233-238 |
Abstract
An analytic expression for the ${}^1S_0$ phase shifts in nucleon-nucleon scattering is derived in the context of the Schr\"odinger equation in configuration space with a short distance cutoff and with a consistent power counting scheme including pionic effects. The scheme treats the pion mass and the inverse scattering length over the intrinsic short distance scale as small parameters. Working at next-to-leading order in this scheme, we show that the expression obtained is identical to one obtained using the recently introduced PDS approach which is based on dimensional regularization with a novel subtraction scheme. This strongly supports the conjecture that the schemes are equivalent provided one works to the same order in the power counting.
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"abstract": "An analytic expression for the ${}^1S_0$ phase shifts in nucleon-nucleon\nscattering is derived in the context of the Schr\\\"odinger equation in\nconfiguration space with a short distance cutoff and with a consistent power\ncounting scheme including pionic effects. The scheme treats the pion mass and\nthe inverse scattering length over the intrinsic short distance scale as small\nparameters. Working at next-to-leading order in this scheme, we show that the\nexpression obtained is identical to one obtained using the recently introduced\nPDS approach which is based on dimensional regularization with a novel\nsubtraction scheme. This strongly supports the conjecture that the schemes are\nequivalent provided one works to the same order in the power counting.",
"arxiv_id": "nucl-th/9808006",
"authors": [
"Thomas D. Cohen",
"James M. Hansen"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0370-2693(98)01180-0",
"journal_ref": "Phys.Lett. B440 (1998) 233-238",
"title": "Systematic Power Counting in Cutoff Effective Field Theories for Nucleon-Nucleon Interactions and the Equivalence With PDS",
"url": "https://arxiv.org/abs/nucl-th/9808006"
},
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