dorsal/arxiv
View SchemaMore Effective Field Theory for Nonrelativistic Scattering
| Authors | David B. Kaplan |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610052 |
| URL | https://arxiv.org/abs/nucl-th/9610052 |
| DOI | 10.1016/S0550-3213(97)00178-8 |
| Journal | Nucl.Phys. B494 (1997) 471-484 |
Abstract
An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the existence a large length scale --- the scattering length --- which arises due to couplings in the short distance theory being near critical values. I show how this can be dealt with by introducing an explicit s-channel state in the effective field theory. The procedure is worked out analytically in a toy example. I then demonstrate that a simple effective field theory excellently reproduces the 1S_0 np phase shift up to the pion production threshold.
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"abstract": "An effective field theory treatment of nucleon-nucleon scattering at low\nenergy shows much promise and could prove a useful tool in the study of nuclear\nmatter at both ordinary and extreme densities. The analysis is complicated by\nthe existence a large length scale --- the scattering length --- which arises\ndue to couplings in the short distance theory being near critical values. I\nshow how this can be dealt with by introducing an explicit s-channel state in\nthe effective field theory. The procedure is worked out analytically in a toy\nexample. I then demonstrate that a simple effective field theory excellently\nreproduces the 1S_0 np phase shift up to the pion production threshold.",
"arxiv_id": "nucl-th/9610052",
"authors": [
"David B. Kaplan"
],
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"doi": "10.1016/S0550-3213(97)00178-8",
"journal_ref": "Nucl.Phys. B494 (1997) 471-484",
"title": "More Effective Field Theory for Nonrelativistic Scattering",
"url": "https://arxiv.org/abs/nucl-th/9610052"
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