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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)

Abstract

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.

Keywords

Total Cross Section Production Cross Section Partial Wave Scattering Length Unitary Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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