dorsal/arxiv
View SchemaNuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
| Authors | E. Epelbaoum, W. Glöckle, Ulf-G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9801064 |
| URL | https://arxiv.org/abs/nucl-th/9801064 |
| DOI | 10.1016/S0375-9474(98)00220-6 |
| Journal | Nucl.Phys. A637 (1998) 107-134 |
Abstract
We construct the two- and three-nucleon potential based on the most general chiral effective pion-nucleon Lagrangian using the method of unitary transformations. For that, we develop a power counting scheme consistent with this projection formalism. In contrast to previous results obtained in old-fashioned time-ordered perturbation theory, the method employed leads to energy-independent potentials. We discuss in detail the similarities and differences to the existing chiral nucleon-nucleon potentials. We also show that to leading order in the power counting, the three-nucleon forces vanish lending credit to the result obtained by Weinberg using old-fashioned time-ordered perturbation theory.
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"abstract": "We construct the two- and three-nucleon potential based on the most general\nchiral effective pion-nucleon Lagrangian using the method of unitary\ntransformations. For that, we develop a power counting scheme consistent with\nthis projection formalism. In contrast to previous results obtained in\nold-fashioned time-ordered perturbation theory, the method employed leads to\nenergy-independent potentials. We discuss in detail the similarities and\ndifferences to the existing chiral nucleon-nucleon potentials. We also show\nthat to leading order in the power counting, the three-nucleon forces vanish\nlending credit to the result obtained by Weinberg using old-fashioned\ntime-ordered perturbation theory.",
"arxiv_id": "nucl-th/9801064",
"authors": [
"E. Epelbaoum",
"W. Gl\u00f6ckle",
"Ulf-G. Mei\u00dfner"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(98)00220-6",
"journal_ref": "Nucl.Phys. A637 (1998) 107-134",
"title": "Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism",
"url": "https://arxiv.org/abs/nucl-th/9801064"
},
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