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The Fubini-Furlan-Rosetti sum rule and related aspects in light of covariant baryon chiral perturbation theory

  • V. Bernard
  • B. Kubis
  • U. -G. Meißner
Original Article

Abstract.

We analyze the Fubini-Furlan-Rosetti sum rule in the framework of covariant baryon chiral perturbation theory to leading one-loop accuracy and including next-to-leading-order polynomial contributions. We discuss the relation between the subtraction constants in the invariant amplitudes and certain low-energy constants employed in earlier chiral perturbation theory studies of threshold neutral pion photoproduction off nucleons. In particular, we consider the corrections to the sum rule due to the finite pion mass and show that below the threshold they agree well with determinations based on fixed-t dispersion relations. We also discuss the energy dependence of the electric dipole amplitude E0+.

PACS.

11.55.Hx Sum rules 12.39.Fe Chiral Lagrangians 13.60.Le Meson production 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  • V. Bernard
    • 1
  • B. Kubis
    • 2
  • U. -G. Meißner
    • 2
    • 3
  1. 1.Laboratoire de Physique ThéoriqueUniversité Louis PasteurStrasbourg Cedex 2France
  2. 2.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie)Universität BonnBonnGermany
  3. 3.Institut für Kernphysik (Theorie)Forschungszentrum JülichJülichGermany

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