Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-03-25
Nucl.Phys.A829:170-209,2009
Physics
Nuclear Physics
Nuclear Theory
22 pages, 22 figures
Scientific paper
10.1016/j.nuclphysa.2009.08.010
The analytic properties of scattering amplitudes provide important 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 allow for a parameterization of resonances in a well-defined way, free of assumptions for the background and energy dependence of the resonance part. This is a necessary condition to relate resonance 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 S11 amplitude in greater detail.
Döring M.
Hanhart Ch.
Huang Fang
Krewald Siegfried
Meißner Ulf-G.
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