Abstract
A model-independent method for the determination of resonance parameters as K-matrix pole parameters from a T matrix is presented. The method is based on eliminating the dependence on the choice of channel basis by analyzing the trace of the K and T matrices in the coupled-channel formalism, rather than individual matrix elements of the multichannel scattering matrix.
Highlights
A general problem in theoretical baryon physics is to make a connection between resonances that are predicted by various quark models and experiment
We have presented a model-independent method for resonance parameter extraction using the Kmatrix formalism
It is shown that real poles of the K matrix are related to the resonant behavior of the trace of the T matrix
Summary
A general problem in theoretical baryon physics is to make a connection between resonances that are predicted by various quark models and experiment. A reasonable way to proceed is by identifying the poles of analytic functions that are able to describe simultaneously all experimental data in a multiplicity of existing channels with theoretically predicted resonant states. Properly and uniquely extracting resonance parameters from experiment is a task of primary importance. The work described here is motivated by the need to extract Breit-Wigner resonance parameters from multichannel partialwave analyses (PWAs) in a model-independent way. Many PWAs of similar experimental data produce similar partial waves, while the extracted Breit-Wigner resonance parameters are often quite different. This fact can be seen in the Review
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