6533b7d2fe1ef96bd125e28e

RESEARCH PRODUCT

A dispersion theoretical approach to the threshold amplitudes of pion photoproduction

Lothar TiatorDieter DrechselO. Hanstein

subject

PhysicsNuclear and High Energy PhysicsChiral perturbation theoryNuclear TheoryNuclear TheoryFOS: Physical sciencesObservableResonance (particle physics)Nuclear physicsNuclear Theory (nucl-th)AmplitudePionDispersion relationNeutronNuclear ExperimentFree parameter

description

We give predictions for the partial wave amplitudes of pion photoproduction near threshold by means of dispersion relations at fixed t. The free parameters of this approach are determined by a fit to experimental data in the energy range 160 MeV $\le E_{\gamma} \le$ 420 MeV. The observables near threshold are found to be rather sensitive to the amplitudes in the resonance region, in particular to the $\Delta$ (1232) and $N^*$ (1440). We obtain a good agreement with the existing threshold data for both charged and neutral pion production. Our predictions also agree well with the results of chiral perturbation theory, except for neutral pion production off the neutron.

https://dx.doi.org/10.48550/arxiv.nucl-th/9612057