Advertisement

Zeitschrift für Physik A Hadrons and Nuclei

, Volume 356, Issue 1, pp 339–350 | Cite as

Electro-magnetic nucleon form factors and their spectral functions in soliton models

  • G. Holzwarth
Article

Abstract

It is demonstrated that in simple soliton models essential features of the electro-magnetic nucleon form factors observed over three orders of magnitude in momentum transfert are naturally reproduced. The analysis shows that three basic ingredients are required: an extended object, partial coupling to vector mesons, and relativistic recoil corrections. We use for the extended object the standard skyrmion, one vector meson propagator for both isospin channels, and the relativistic boost to the Breit frame. Continuation to time-liket leads to quite stable results for the spectral functions in the regime from the 2- or 3-pion threshold to about two rho masses. Especially the onset of the continuous part of the spectral functions at threshold can be reliably determined and there are strong analogies to the results imposed on dispersion theoretic approaches by the unitarity constraint.

PACS

12.39.Dc 12.39.Fe 13.40.Gp 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. Braaten, S.M. Tse, C. Willcox: Phys. Rev.D34 (1986) 1482; Phys. Rev. Lett.56 (1986) 2008.ADSGoogle Scholar
  2. 2.
    U.G. Meissner, N. Kaiser, W. Weise: Nucl. Phys.A466 (1987) 685; U.G. Meissner: Phys. Rep.161 (1988) 213.ADSGoogle Scholar
  3. 3.
    N. Kaiser, U. Vogl, W. Weise, U.G. Meissner: Nucl. Phys.A484 (1988) 593.ADSGoogle Scholar
  4. 4.
    F. Meier: in: Baryons as Skyrme solitons, ed. G. Holzwarth (World Scientific, Singapore 1993) p. 159.Google Scholar
  5. 5.
    A.L. Licht, A. Pagnamenta: Phys. Rev.D 2 (1976) 1150; and 1156.ADSGoogle Scholar
  6. 6.
    F. Foster, G. Hughes: Z. Phys. C.14 (1982) 123.CrossRefADSGoogle Scholar
  7. 7.
    M.V. Barnhill: Phys. Rev.D20 (1979) 723.ADSGoogle Scholar
  8. 8.
    M. Betz, R. Goldflam: Phys. Rev.D28 (1983) 2848; X.M. Wang, P.C. Yin: Phys. Lett.B140 (1984) 249; C.J. Benesh, G.A. Miller: Phys. Rev.D36 (1987) 1344.ADSGoogle Scholar
  9. 9.
    M. Warns, H. Schröder, W. Pfeil, H. Rollnik: Z. Phys. C45 (1990) 613; and 627.ADSGoogle Scholar
  10. 10.
    M.A. Ivanov, M.P. Locher, V.E. Lyubovitskij: PSI-PR-96-08, hep-ph/9602372.Google Scholar
  11. 11.
    Xiangdong Ji: Phys. Lett.B254 (1991) 456.ADSGoogle Scholar
  12. 12.
    G. Holzwarth: Prog. Part. Nucl. Phys.36 (1996) 161.CrossRefGoogle Scholar
  13. 13.
    See refs.4–8,30–51 in A.F. Sill et al. [37].Google Scholar
  14. 14.
    G. Höhler et al.: Nucl. Phys.B114 (1976) 505; G. Höhler:πN NewsletterNo. 9 (1993) 108, ISSN 0942-4148.CrossRefADSGoogle Scholar
  15. 15.
    W.R. Frazer, J.R. Fulco: Phys. Rev.117 (1960) 1603.MATHCrossRefADSMathSciNetGoogle Scholar
  16. 16.
    J.E. Bowcock, W.N. Cottingham, J.G. Williams: Nucl. Phys.B3 (1967) 95.CrossRefADSGoogle Scholar
  17. 17.
    T.H.R. Skyrme: Proc. Roy. Soc. Ser.A260 (1961) 127.CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    P. Jain, R. Johnson, U.G. Meissner, N.W. Park, J. Schechter: Phys. Rev.D37 (1988) 3252.ADSGoogle Scholar
  19. 19.
    U.G. Meissner, N. Kaiser, H. Weigel, J. Schechter: Phys. Rev.D39 (1989) 1956.ADSGoogle Scholar
  20. 20.
    B. Schwesinger, H. Weigel, G. Holzwarth, A. Hayashi: Phys. Reports173 (1989) 173; and references therein.CrossRefADSGoogle Scholar
  21. 21.
    G. Höhler: In Landolt-Börnstein, Vol.9 b2, ed. H. Schopper (Springer, Berlin, 1983).Google Scholar
  22. 22.
    V.A. Matveev, R.M. Muradyan, A.N. Tavkhelidze: Lett. Nuovo Cim.7 (1973) 719.CrossRefGoogle Scholar
  23. 23.
    B. Moussallam: Ann. Phys.(NY)225 (1993) 264.CrossRefADSGoogle Scholar
  24. 24.
    F. Meier, H. Walliser: hep-ph/9602359, submitted to Phys. Reports.Google Scholar
  25. 25.
    A. Lung et al.: Phys. Rev. Lett.70 (1993) 718.CrossRefADSGoogle Scholar
  26. 26.
    P. Markowitz et al.: Phys. Rev.C48 (1993) R5.Google Scholar
  27. 27.
    E.E.W. Bruins et al.: Phys. Rev. Lett.75 (1995) 21.CrossRefADSGoogle Scholar
  28. 28.
    H. Anklin et al.: Phys. Lett.B336 (1994) 313.ADSGoogle Scholar
  29. 29.
    C.W. Akerlof et al.: Phys. Rev.B135 (1964) 810.CrossRefADSGoogle Scholar
  30. 30.
    W. Albrecht et al.: Phys. Lett.B26 (1968) 642.ADSGoogle Scholar
  31. 31.
    S. Rock et al.: Phys. Rev. Lett.49 (1982) 1139.CrossRefADSGoogle Scholar
  32. 32.
    P. Stein et al.: Phys. Rev. Lett.16 (1966) 592.CrossRefADSGoogle Scholar
  33. 33.
    E.B. Hughes et al.: Phys. Rev.B139 (1965) 458.CrossRefADSGoogle Scholar
  34. 34.
    J.R. Dunning et al.: Phys. Rev.141 (1966) 1286.CrossRefADSGoogle Scholar
  35. 35.
    S. Platchkov et al.: Nucl. Phys.A510 (1990) 740.ADSGoogle Scholar
  36. 36.
    S. Galster et al.: Nucl. Phys.B32 (1971) 221.CrossRefADSGoogle Scholar
  37. 37.
    A.F. Sill et al.: Phys. Rev.D48 (1993) 29.ADSGoogle Scholar
  38. 38.
    L. Andivahis et al.: Phys. Rev.D50 (1994) 5491.ADSGoogle Scholar
  39. 39.
    R.C. Walker et al.: Phys. Rev.D49 (1994) 5671.ADSGoogle Scholar
  40. 40.
    P. Mergell, U.G. Meissner, D. Drechsel: MKPH-T-95-07, hep-ph/9506375; H.-W. Hammer, U.G. Meissner, D. Drechsel: MKPH-T-96-05, hep-ph/9604294.Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  1. 1.Fachbereich PhysikUniversität-GH-SiegenSiegenGermany

Personalised recommendations