Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity

Details Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity

1997-09-29

arxiv.org/abs/nucl-th/9709067v1

Nucl.Phys.A632:561-606,1998

Physics

Nuclear Physics

Nuclear Theory

46 pages LATEX including 29 postscript figures

Scientific paper

10.1016/S0375-9474(98)00818-5

We have analysed pion photoproduction imposing constraints from fixed t dispersion relations and unitarity. Coupled integral equations for the S and P wave multipoles were derived from the dispersion relations and solved by the method of Omnes and Muskhelishvili. The free parameters were determined by a fit to the most recent data for \pi^{+} and \pi^{0} production on the proton as well as \pi^{-} production on the neutron, in the energy We have analysed pion photoproduction imposing constraints from fixed t dispersion relations and unitarity. Coupled integral equations for the S and P wave multipoles were derived from the dispersion relations and solved by the method of Omnes and Muskhelishvili. The free parameters were determined by a fit to the most recent data for \pi^{+} and \pi^{0} production on the proton as well as \pi^{-} production on the neutron, in the energy range 160 MeV \leq E_{\gamma} \leq 420 MeV. The lack of high precision data on the neutron and of polarization observables leads to some limitations of our results. Especially the multipole M_{1-} connected with the Roper resonance P_{11}(1440) cannot be determined to the required precision. Our predictions for the threshold amplitudes are in good agreement with both the data and chiral perturbation theory. In the region of the \Delta(1232) we have determined the ratio of electric quadrupole and magnetic dipole excitation. The position of the resonance pole is obtained in excellent agreement with pion-nucleon scattering, and the complex residues of the multipoles are determined with the speed-plot technique.

Affiliated with

Also associated with

No associations

Rating

Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multipole analysis of pion photoproduction based on fixed t dispersion relations and unitarity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487120