ηN S-wave Scattering Length, Limitations of the Single Resonance Model, Predictions of the Three Coupled Channel, Multiresonance and Unitary Model

  • A. Švarc
  • M. Batinić
  • I. Šlaus
Part of the Few-Body Systems book series (FEWBODY, volume 9)


It is shown from the first principles that only two physical quantities are needed to calculate the ηN S-wave scattering length if only one resonance is used per partial wave: the πN elastic T-matrix at the n production threshold, and the threshold slope of the total η production cross section Taking πN elastic data from most of the πN elastic partial wave analyses, and the threshold slope of the total n production cross section of 21.2 ± 1.8 µb the absolute lower and upper limits of the real and imaginary part of the ηN S-wave scattering length within the single resonance model are given.

The value of the ηN S-wave scattering length is extracted in the three coupled channel, multiresonance and unitary model for two cases: when the number of resonances in the S-wave is restricted to one, and for the full model. It is demonstrated that the single resonance restriction of a multiresonance model obeys the aforementioned limitations, and the full calculation gives a significantly higher value for the scattering length real part. Our conclusion that the single resonance models are not sufficient to reliably predict the ηN S-wave scattering length is supported by other, non-single resonance models.


Total Cross Section Production Cross Section Partial Wave Scattering Length Unitary Model 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • A. Švarc
    • 1
  • M. Batinić
    • 1
  • I. Šlaus
    • 1
  1. 1.Rudjer Bošković InstituteZagrebCroatia

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