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Uncertainties in the eta-Nucleon Scattering Length and Effective Range

2000/09/20 by A. M. Green, A.M. Green, Green, A. M. +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle accelerators and beam dynamics #Superconducting Materials and Applications #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0009053

5 pages with 2 embedded .eps figures

arxiv created 2000/09/20 · openalex publication_date 2000/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The coupled eta-N, pi-N, gamma-N system is described by a K-matrix method. The parameters in this model are adjusted to get an optimal fit to pi-N --->pi- N, pi-N --->eta-N, gamma-N--->pi-N and gamma-N --->eta-N data in an energy range of about 100MeV or so each side of the eta threshold. The outcome is the appearance of two solutions one which has an eta-nucleon scattering length (a) of about 1.0 fm and a second with a~0.2fm. However, the second solution has an unconventional non-Lorentian form for the T-matrix in the region of the 1535(20)MeV and 1650(30)MeV S-wave pi-N resonances.

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