The influence of inelastic channels upon the pole structure of partial wave T-matrices in the coupled channel pion-nucleon partial wave analysis (CROSBI ID 511977)
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Ceci, Saša ; Švarc, Alfred ; Zauner, Branimir
engleski
The influence of inelastic channels upon the pole structure of partial wave T-matrices in the coupled channel pion-nucleon partial wave analysis
The method of avoiding continuum ambiguities in a pion-nucleon partial wave analysis in the inelastic region by using the coupled channel formalism is discussed. The very number of poles of the analytic partial wave T-matrix, their position in the complex energy plane and their residues depend strongly on the number of channels used for constraining the free parameters of the model. The criteria for determining the minimal number of poles needed to describe the given input are discussed, and the procedure of increasing the number of poles necessary for simultaneously describing additional channels is introduced. The interplay of the pole structure and the number of inelastic channels is demonstrated for the P11 partial wave for the case of inclusion of pi N -> eta N channel into the coupled channel partial wave analysis in addition to the full pi N elastic data base. The N(1710) P11 resonance is a clear example when the continuum ambiguity, present when solely the pi N elastic scattering data are analyzed, is spontaneously eliminated by increasing the number of resonant states when the piN -> eta N channel data are included in the framework of coupled channel partial wave analysis formalism.
coupled channel partial wave analysis; inelastic channels
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Podaci o prilogu
376-380.
2006.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of the Workshop on the Physics of Excited Nucleons Nstar2005
Simon Capstick ; Volker Crede, Paul Eugenio
Singapur : London : München : Ženeva : Tokyo : Hong Kong : Taipei : Peking : Šangaj : Tianjin : Chennai: World Scientific Publishing
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29.02.1904-29.02.2096