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Virtual photons in baryon chiral perturbation theory

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arxiv hep-ph/9903375 v1 pith:SK3D55Z7 submitted 1999-03-17 hep-ph nucl-th

classification hep-phnucl-th
keywords nucleonbaryonchiralelectromagneticperturbationphotonstheoryvirtual
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We construct the general Lagrangian for relativistic and heavy baryon chiral perturbation theory with virtual photons to fourth order. We work out the electromagnetic and strong isospin violating contributions to the nucleon self-energy, the nucleon mass and the scalar form factor of the nucleon. Electromagnetic effects for the shift to the Cheng-Dashen point can be as large as 2 MeV. We also discuss the corrections to Weinberg's prediction for the scattering length difference $a(\pi^0 p) - a(\pi^0 n)$ and show that they are small.

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Cited by 1 Pith paper

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  1. Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory

    nucl-th 2025-04 conditional novelty 6.0 of 10

    The authors construct charge-dependent nucleon-nucleon potentials up to NNLO in covariant chiral effective field theory and fit their parameters to PWA93 phase shifts.

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