A Dispersion theoretical approach to the threshold amplitudes of pion photoproduction

Hanstein, O.; Drechsel, D.; Tiator, L.

doi:10.1016/S0370-2693(97)00272-4

A Dispersion theoretical approach to the threshold amplitudes of pion photoproduction

Dec, 1996

16 pages

Published in:

Phys.Lett.B 399 (1997) 13-21

e-Print:

nucl-th/9612057 [nucl-th]

DOI:

10.1016/S0370-2693(97)00272-4

Report number:

MKPH-T-96-32

View in:

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Abstract:

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.

Note:

16 pages LATEX including 4 postscript figures

13.60.Le
11.55.Fv
11.80.Et
Pion photoproduction
Dispersion relations
Low energy theorems
Threshold amplitudes
photon nucleon: exclusive reaction
pi: photoproduction
threshold

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