A dispersion theoretical approach to the threshold amplitudes of pion photoproduction

Details A dispersion theoretical approach to the threshold amplitudes of pion photoproduction A dispersion theoretical approach to the threshold amplitudes of pion photoproduction

1996-12-20

arxiv.org/abs/nucl-th/9612057v1

Phys.Lett. B399 (1997) 13-21

Physics

Nuclear Physics

Nuclear Theory

16 pages LATEX including 4 postscript figures

Scientific paper

10.1016/S0370-2693(97)00272-4

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.

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