Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory

Abstract

The electromagnetic form factors of the nucleon are calculated at order $q^4$ in the relativistic formulation of baryon chiral perturbation theory. In order to obtain a consistent power counting for the renormalized diagrams we make use of the extended on-mass-shell renormalization scheme which we have discussed in a recent paper. We analyze the Dirac and Pauli form factors, $F_1$ and $F_2$, as well as the electric and magnetic Sachs form factors, $G_E$ and $G_M$. Our results are compared with those obtained in the heavy-baryon approach and in the (relativistic) infrared regularization. In addition, the Sachs form factors are compared with experimental data. We confirm previous findings that a one-loop calculation of the electromagnetic form factors does not generate sufficient curvature for the Sachs form factors $G_E^p$, $G_M^p$, and $G_M^n$. Moreover, the electric form factor of the neutron is very sensitive to higher-order contributions.

25 pages, RevTex, 8 figures

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