Derivation of the effective pion-nucleon Lagrangian within heavy baryon chiral perturbation theory

✍ Scribed by A. Misra; D.S. Koltun

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 971 KB
• Volume: 646
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(98)00625-3

✦ Synopsis

We develop a method for constructing the heavy baryon chiral perturbation theory (HBChPT) Lagrangian, 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 non-relativistic formalism. We obtain complete lists of independent terms in £HBCher through O(q 3) for off-shell nucleons. Then, eliminating equation-of-motion (e.o.m.) terms at the relativistic and non-relativistic level (both within HBChPT), we obtain £HBCUZr for on-shell nucleons, through O(q3). The extension of the method (to obtain on-shell £HBChZr within HBChPT) to higher orders is also discussed. (~) 1999 Published by Elsevier Science B.V.