dorsal/arxiv
View SchemaThe Long and Short of Nuclear Effective Field Theory Expansions
| Authors | David B. Kaplan, James V. Steele |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9905027 |
| URL | https://arxiv.org/abs/nucl-th/9905027 |
| DOI | 10.1103/PhysRevC.60.064002 |
| Journal | Phys.Rev. C60 (1999) 064002 |
Abstract
Nonperturbative effective field theory calculations for NN scattering seem to break down at rather low momenta. By examining several toy models, we clarify how effective field theory expansions can in general be used to properly separate long- and short-range effects. We find that one-pion exchange has a large effect on the scattering phase shift near poles in the amplitude, but otherwise can be treated perturbatively. Analysis of a toy model that reproduces 1S0 NN scattering data rather well suggests that failures of effective field theories for momenta above the pion mass can be due to short-range physics rather than the treatment of pion exchange. We discuss the implications this has for extending the applicability of effective field theories.
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"abstract": "Nonperturbative effective field theory calculations for NN scattering seem to\nbreak down at rather low momenta. By examining several toy models, we clarify\nhow effective field theory expansions can in general be used to properly\nseparate long- and short-range effects. We find that one-pion exchange has a\nlarge effect on the scattering phase shift near poles in the amplitude, but\notherwise can be treated perturbatively. Analysis of a toy model that\nreproduces 1S0 NN scattering data rather well suggests that failures of\neffective field theories for momenta above the pion mass can be due to\nshort-range physics rather than the treatment of pion exchange. We discuss the\nimplications this has for extending the applicability of effective field\ntheories.",
"arxiv_id": "nucl-th/9905027",
"authors": [
"David B. Kaplan",
"James V. Steele"
],
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"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.60.064002",
"journal_ref": "Phys.Rev. C60 (1999) 064002",
"title": "The Long and Short of Nuclear Effective Field Theory Expansions",
"url": "https://arxiv.org/abs/nucl-th/9905027"
},
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