Neutral Meson Photoproduction in $S{U}_f(3)$ $\chi$PT

Abstract

We present the results for the electric dipole amplitude for $\gamma N\to {\pi }^{0}N$ at threshold at the $O(p^2)$ level in SU${}_f$(3) chiral perturbation theory. We find that the SU${}_f$(3) results differ only slightly from the SU${}_f$(2) results. At the $O(p^3)$ level one encounters new, unknown counterterms to fix which one is likely to need the threshold photoproduction data themselves, thus losing predictive power. We suggest, instead, that the {\it difference} between the proton and neutron ${\pi }^0$ photoproduction amplitudes may provide a test of the convergence properties of the $\chi$PT in the present context. We urge that the neutron's electric dipole amplitude be measured.

Revised version with corrected value of the Kaon loop contribution

References in corpus (7)

• Effective Lagrangian Approach to the Theory of Eta Photoproduction in the $N^{\ast }(1535)$ Region
• The $\eta$NN Coupling in Eta Photoproduction
• Chiral Perturbation Theory Analysis of the Baryon Magnetic Moments
• Constraints on Coupling Constants through Charged $\Sigma$ Photoproduction
• The Kaon-Photoproduction Of Nucleons In The Quark Model
• Baryon Mass Splittings in Chiral Perturbation Theory
• Neutral pion photoproduction off nucleons revisited

Cited by in corpus (1)

• The Decuplet Revisited in $\chi$PT