dorsal/arxiv
View SchemaDerivation of the Effective Pion-Nucleon Lagrangian within Heavy Baryon Chiral Perturbation Theory
| Authors | A. Misra, D. S. Koltun |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805031 |
| URL | https://arxiv.org/abs/nucl-th/9805031 |
| DOI | 10.1016/S0375-9474(98)00625-3 |
| Journal | Nucl.Phys. A646 (1999) 343-363 |
Abstract
We develop a method for constructing the Heavy Baryon Chiral Perturbation Theory Lagrangian (L_{HBChPT}), to a given chiral order, within HBChPT. We work within SU(2) theory, with only the pion field interacting with the nucleon. The main difficulties, which are solved, are to develop techniques for implementing charge conjugation invariance, and for taking the nucleon on shell, both within the nonrelativistic formalism. We obtain complete lists of independent terms in L_{HBChPT} through O(q^3) for off- shell nucleons. Then, eliminating equation-of-motion (eom) terms at the relativistic and nonrelativistic level (both within HBChPT), we obtain L_{HBCHPT} for on-shell nucleons, through O(q^3). The extension of the method (to obtain on-shell L_{HBChPT} within HBChPT) to higher orders is also discussed.
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"abstract": "We develop a method for constructing the Heavy Baryon Chiral Perturbation\nTheory Lagrangian (L_{HBChPT}), to a given chiral order, within HBChPT. We work\nwithin SU(2) theory, with only the pion field interacting with the nucleon. The\nmain difficulties, which are solved, are to develop techniques for implementing\ncharge conjugation invariance, and for taking the nucleon on shell, both within\nthe nonrelativistic formalism. We obtain complete lists of independent terms in\nL_{HBChPT} through O(q^3) for off- shell nucleons. Then, eliminating\nequation-of-motion (eom) terms at the relativistic and nonrelativistic level\n(both within HBChPT), we obtain L_{HBCHPT} for on-shell nucleons, through\nO(q^3). The extension of the method (to obtain on-shell L_{HBChPT} within\nHBChPT) to higher orders is also discussed.",
"arxiv_id": "nucl-th/9805031",
"authors": [
"A. Misra",
"D. S. Koltun"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(98)00625-3",
"journal_ref": "Nucl.Phys. A646 (1999) 343-363",
"title": "Derivation of the Effective Pion-Nucleon Lagrangian within Heavy Baryon Chiral Perturbation Theory",
"url": "https://arxiv.org/abs/nucl-th/9805031"
},
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