Advertisement

Uncertainties of Phase Shift Analyses the Nucleon-Nucleon Interaction

  • H. Leeb
  • D. Leidinger
Part of the Few-Body Systems book series (FEWBODY, volume 6)

Abstract

Based on Darboux transforms inverse scattering methods are successfully applied to determine the nucleon-nucleon potential for uncoupled partial waves from the corresponding phase shifts. A complete nonparametric error analyses is performed in order to determine reliable uncertainties for the nucleon-nucleon potential due to the incomplete knowledge of the phase shift data.

Keywords

Phase Shift Partial Wave Inversion Procedure Inversion Scheme Inverse Scattering Problem 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Yukawa, H.: Proc. Phys.-Math. Soc. Japan 17, 48 (1935)MATHGoogle Scholar
  2. 2.
    Nagels, M. M., Rijken, T. A., and de Swart, J. J.: Phys. Rev. D 17, 768 (1978)ADSGoogle Scholar
  3. 3.
    Lacombe, M., Loiseau B., Richard, J.M., and Vinh Mau, R.: Phys. Rev. C 21, 861 (1980)ADSCrossRefGoogle Scholar
  4. 4.
    Machleidt, R., Holinde, K., and Elster, Ch: Phys. Rep. 149, 1 (1987)CrossRefGoogle Scholar
  5. 5.
    Arndt, R. A., Roper, L. D., Bryan, R. A., Clark, R. B., VerWest, B. J., and Signell, P.: Phys. Rev. D 28, 97 (1983);ADSCrossRefGoogle Scholar
  6. Arndt, R. A., Roper, L. D., Bryan, R. A., Clark, R. B., VerWest, B. J., and Signell, P.: Arndt, R. A., Hyslop III, J. S., and L. D. Roper, ibid 35, 128 (1987)ADSGoogle Scholar
  7. 6.
    Bystricky, J., Lechanoine-Leluc, C., and Lehar, F.: J. Phys. (Paris) 48, 199 (1987)CrossRefGoogle Scholar
  8. 7.
    Bergervoet, J. R., van Campen, P. C., Rijken, T. A., and de Swart, J. J.: Phys. Rev. C 38, 15 (1988);ADSCrossRefGoogle Scholar
  9. Bergervoet, J. R., van Campen, P. C., Klomp, R. A. M., de Kok, J.-L., Rijken, T. A., Stoks, V. G. J., de Swart, J. J: Phys. Rev. C 41, 1435 (1990)ADSCrossRefGoogle Scholar
  10. 8.
    Gel’fand, I. M., and Levitan, B. M.: Am. Math. Soc. Transl. 1, 253 (1955);MathSciNetMATHGoogle Scholar
  11. Levitan, B. M.: Generalized Translation Operators and Some of the Applications, Davey, New York, 1964Google Scholar
  12. 9.
    Agranovitsch, Z. S., and Marchenko, V. A.: The Inverse Problem of Scattering Theory, Gordon, New York, 1963Google Scholar
  13. 10.
    Newton, R. G., and Fulton, T.: Phys. Rev. 107, 1103 (1957)ADSMATHCrossRefGoogle Scholar
  14. 11.
    Benn, J., and Scharf, G.: Nucl. Phys. A183, 319 (1972)CrossRefGoogle Scholar
  15. 12.
    Kirst, Th., Amos, K., Berge, L., Coz, M., and von Geramb, H. V.; Phys. Rev. C 40, 912 (1989)ADSGoogle Scholar
  16. 13.
    Arndt, R. A., and Roper, L. D.: Scattering Analysis Interactive Dial in SAID, Virginia Polytechnic Institute, Blacksburry, 1988Google Scholar
  17. 14.
    Naidoo, K., Fiedeldey, H., Sofianos, S. A., and Lipperheide, R.: Nucl. Phys. A419, 13 (1984)CrossRefGoogle Scholar
  18. 15.
    Leeb, H., Fiedeldey, H., Lipperheide, R.: Phys. Rev. C 32, 1223 (1985)ADSCrossRefGoogle Scholar
  19. 16.
    Bargmann,V.: Rev. Mod. Phys. 21, 488 (1949)MathSciNetADSMATHCrossRefGoogle Scholar
  20. 17.
    Schnizer, W. A., and Leeb, H.: Inverse Methods in Action; Springer, Berlin-Heidelberg, 1990, page 455CrossRefGoogle Scholar
  21. 18.
    Schnizer, W. A., PhD thesis, University of Graz, Austria, 1990Google Scholar
  22. 19.
    Hartt, K., and Yidana, P. V. A.: Phys. Rev. C 31, 1105 (1985)ADSCrossRefGoogle Scholar
  23. 20.
    Reid, R. V.: Ann. Phys. (N.Y.) 50, 411 (1968)ADSCrossRefGoogle Scholar
  24. 21.
    Newton, R. G.: Phys. Rev. 100, 412 (1955)MathSciNetADSMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • H. Leeb
    • 1
  • D. Leidinger
    • 1
  1. 1.Institut für KernphysikTechnische Universität WienWienAustria

Personalised recommendations