Derivation of O(q⁴) Effective Pion-Nucleon Lagrangian Within Heavy Baryon Chiral Perturbation Theory

1999/09/24 by A. Misra, Anuradha Misra, Misra, A.
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/9909498

54 pages, LaTex, 5 Tables, 2 ps figures; Table 4 modified, and corresponding changes made in the text

openalex publication_date 1999/09/24 · arxiv created 1999/09/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a complete list of O(q⁴) terms directly within Heavy Baryon Chiral Perturbation Theory (HBChPT) in the absence of external fields and assuming isospin symmetry. In addition to a phase rule recently developed (NPA646, 343, '99), a variety of algebraic identities and reparameterization invariance, are used to ensure linear independence of the terms and their low energy coupling constants. We first construct O(q⁴) terms terms for off-shell nucleons, and then perform the on-shell reduction, again within HBChPT. We discuss an application of the O(q⁴) terms to the evaluation of the O(q⁴) operator insertions in the "contact graph" of pion double charge exchange.

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