Resonance parameters from K-matrix and T-matrix poles
R.L. Workman, R.A. Arndt, and M. Paris
TL;DR
This paper evaluates a new method for determining resonance properties by extracting K-matrix poles from scattering data, addressing background separation, pole correspondence, and eigenphase behavior.
Contribution
It introduces and tests a method based on the trace of the K-matrix for extracting resonance parameters from scattering data.
Findings
The K-matrix poles can be reliably extracted from scattering data.
The method clarifies the relation between K-matrix and T-matrix poles.
Eigenphase behavior presents challenges in resonance analysis.
Abstract
We extract K-matrix poles from our fits to elastic pion-nucleon scattering and eta-nucleon production data in order to test a recently proposed method for the determination of resonance properties, based on the trace of the K-matrix. We have considered issues associated with the separation of background and resonance contributions, the correspondence between K-matrix and T-matrix poles, and the complicated behavior of eigenphases.
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