Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model

By M. Döring, C. Hanhart, F. Huang, S. Krewald, U. Meissner. 2009

144 citations recorded by the source corpus.

The analytic properties of scattering amplitudes provide i mportant information. Besides the cuts, the poles and zeros on the different Riemann sheets determine the global behavior of the amplitude on the physical axis. Pole positions and residues al low for a parameterization of resonances in a well-defined way, f ree of assumptions for the background and energy dependence of the resonance part. This is a necessary condition to relate r esonance contributions in different reactions. In the present study, we determine the pole structure of pion-nucleon scattering in an analytic model based on meson exchange. For this, the sheet structure of the amplitude is determined. To show the precision of the resonance extraction and discuss phenomena such as resonance interference, we discuss the S 11 amplitude in greater detail.

View Paper: https://www.semanticscholar.org/paper/f07d3f02566e020d1f0bb25b02cbff4f6d1084f1

Citations in the corpus