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

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

2005-06-08

arxiv.org/abs/nucl-th/0506023v1

Eur.Phys.J. A25 (2005) 419-425

Physics

Nuclear Physics

Nuclear Theory

7 pages, 2 figs

Scientific paper

10.1140/epja/i2005-10144-9

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 E_{0+}.

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