ηNS-wave scattering length in a three-coupled-channel, multiresonance, unitary model

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Abstract
The S-wave scattering length for the ηN elastic scattering is extracted from the S-wave T matrix in a three-coupled-channel, multiresonance unitary model. Results are compared with values already reported in the literature which are obtained on the basis of simpler models, usually single-resonance–no background. The dispersion among the previously published values of the real part of the S-wave scattering length is observed. We show that the ηN scattering length value obtained in single-resonance–no background models significantly increases if a background term is added in a unitary way. We question the reliability of previously reported values based only on the single-resonance–no background models, and demonstrate that the value of the ηN S-wave scattering length obtained in this publication is much more realistic because of the multiresonance and unitary approach.