ηN S-wave Scattering Length, Limitations of the Single Resonance Model, Predictions of the Three Coupled Channel, Multiresonance and Unitary Model
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.
KeywordsTotal Cross Section Production Cross Section Partial Wave Scattering Length Unitary Model
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- 3.C. Bennhold, H. Tanabe: Nucl. Phys. A350, 625 (1991)Google Scholar
- 4.M. Clajus, B.M.K. Nefkens: in ηN Newsletter, No 7, ed. G. Höhler, W. Kluge, B.M.K. Nefkens, 76 (1992)Google Scholar
- 5.C. Bennhold: Private CommunicationGoogle Scholar
- 6.D.M. Binnie et al.: Phys. Rev. D8, 2793 (1973)Google Scholar
- 7.M. Batinić, I. Šlaus, A. Švarc: submitted for publication to Phys. Rev. C, available as paper nucl-th/9502017 at xxx. lanl.gov.or babbage.sissa.itGoogle Scholar
- 9.V.V. Abaev, B.M.K. Nefkens: Private CommunicationGoogle Scholar
- 11.Ch. Sauermann, B.L. Friman, W. Nörenberg: Phys. Lett. B341, 261 (1995)Google Scholar
- 12.G. Höhler: in Landolt-Börnstein Elastic and Charge Exchange Scattering of Elementary Particles, Vol. 9, Subvolume b: Pion Nucleon Scattering, Part 2 (1983)Google Scholar
- 13.Ch. Sauermann: Private CommunicationGoogle Scholar
- 14.M. Batinie et al.: Phys. Rev. C51, No 5 (1995)Google Scholar
- 17.Solutions FA84, CV90, KV90, SM90, FA93, WI94, and SP95 obtained from SAID via INTERNET in January 1995, from Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA, telnet: VTINTE.PHYS.VT.EDU, user: PHYSICS, Password: QUAN-TUMGoogle Scholar
- 18.M. Batinié, A. Svarc: submitted for publication to Few-Body Systems, available as paper nucl-th/9503020 at xxx.lanl.gov.or babbage.sissa.itGoogle Scholar
- 19.AGS Experiment 909, May-June 1995.Google Scholar