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A problem of stability in phase shift analysis

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Zeitschrift für Physik C Particles and Fields

Abstract

Even if the phase of a scattering amplitude may be reconstructed uniquely from a certain set of observable quantities, the problem of its stability with respect to small displacements of the data is still open. We present a detailed discussion of the stability of the phase of the πN scattering amplitudes obtained from differential cross section and polarization measurements, using analyticity at fixed momentum transfer and isospin invariance.

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References

  1. J.E. Bowcock, H. Burkhardt: Rep. Progr. Phys. 38 (1975) 1099

    Google Scholar 

  2. I.S. Stefanescu: J. Math. Phys. 23 (1982) 1190

    Google Scholar 

  3. I.S. Stefanescu: Fortschr. Phys. 35 (1987) 573

    Google Scholar 

  4. G. Höhler, F. Kaiser, R. Koch, E. Pietarinen: Handbook of pion nucleon scattering. ZAED Report 12-1 (1979)

  5. H. Burkhardt, A. Martin: Nuovo Cimento 29A (1975) 141

    Google Scholar 

  6. R.F. Alvarez-Estrada, B. Carreras, F.J. Yndurain: Determination of scattering amplitudes from experimental data and analyticity. Preprint 1973, submitted to the IInd Int. Conference on High Energy Physics, Aix-en-Provence

  7. A. Martin: Scattering theory: Unitarity, analyticity and crossing. Berlin: Springer 1969

    Google Scholar 

  8. G. Sommer: Fortschr. Phys. 18 (1970) 577

    Google Scholar 

  9. R.F. Alvarez-Estrada: Ann. Phys. 68 (1971) 196. This paper contains a discussion of various constraints on the positions of the zeros ofh +,h −, not related to isospin symmetry

    Google Scholar 

  10. G. Höhler, F. Kaiser: Review and tables of pion—nucleon forward amplitudes. Kernforschungszentrum Karlsruhe Report, 1980

  11. I.S. Stefanescu: Habilitationsschrift, University of Karlsruhe, 1987

  12. N.I. Muskhelishvili: Singular integral equations. P. Noordhoff (ed.) Groningen: 1953

  13. R.P. Boas: Entire functions. New York: Academic Press 1954

    Google Scholar 

  14. E. Pietarinen: Nucl. Phys. B107 (1976) 21

    Google Scholar 

  15. R.L. Kelly, R.E. Cutkosky: Phys. Rev. D20 (1979) 2782; R.E. Cutkosky et al.: Phys. Rev. D20 (1979) 2804; ibid. D20 (1979) 2839

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Kernphysik, Universität Karlsruhe, D-7500, Karlsruhe, Federal Republic of Germany

    I. Sabba Stefanescu

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  1. I. Sabba Stefanescu
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Sabba Stefanescu, I. A problem of stability in phase shift analysis. Z. Phys. C - Particles and Fields 41, 453–466 (1988). https://doi.org/10.1007/BF01585631

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  • DOI: https://doi.org/10.1007/BF01585631

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