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Medium Energy Nucleon and Antinucleon Scattering pp 459–478Cite as

Relativistic Brueckner-Hartree-Fock approach for nuclear matter

  • Part III Relativistic and Mean Field Approaches to Hadron-Nucleus Interactions
  • Conference paper
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Part of the book series: Lecture Notes in Physics ((LNP,volume 243))

Abstract

Starting from the full Bonn meson-exchange model for the NN-interaction an OBEP is constructed in the framework of the Thompson version of the Blankenbecler-Sugar reduction of the Bethe-Salpeter equation. The pseudo-vector coupling of the pion to the nucleon is assumed. An excellent quantitative description of the deuteron and the latest phase-shift analyses of NN-scattering is achieved. This potential is applied to the system of infinite nuclear matter in the relativistic Dirac-Brueckner approach. Due to additional strongly density-dependent relativistic saturation effects, which do not occur in conventional Brueckner theory, the empirical saturation energy and density of nuclear matter are reproduced. This potential may serve as a good starting point for the evaluation of the optical potential to be applied in nucleon-nucleus scattering.

On leave of absence from University of Regensburg

Supported in part by Deutsche Forschungsgemeinschaft

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References

  1. See e.g. B.D. Serot, contribution to this workshop, or: B.D. Serot and J.D. Walecka, Advances in Nuclear Physics (J.W. Negele and E. Vogt, eds.), Vo1.16, Plenum Press, New York (1984), to be published.

    Google Scholar 

  2. See for a review and historical references: B.D. Day, Rev.Mod.Phys. 39, 719 (1967) and 50, 495 (1978).

    Article  Google Scholar 

  3. K.A. Brueckner and J.L. Gammel, Phys.Rev. 109, 1023 (1958).

    Article  Google Scholar 

  4. J.L. Gammel and R.M. Thaler, Phys.Rev. 107, 291, 1339 (1957).

    Article  Google Scholar 

  5. J.G. Zabolitzky, Nucl.Phys. A228, 285 (1974).

    Google Scholar 

  6. B.D. Day, Phys.Rev.Lett. 47, 226 (1981).

    Article  Google Scholar 

  7. K. Erkelenz, Phys.Reports 13C, 191 (1974).

    Article  Google Scholar 

  8. K. Holinde and R. Machleidt, Nucl.Phys. A247, 495 (1975).

    Google Scholar 

  9. D. Schütte, Nucl.Phys. A221, 450 (1974)

    Google Scholar 

  10. K. Kotthoff, K. Holinde, R. Machleidt and D. Schütte, Nucl.Phys. A242, 429 (1975)

    Google Scholar 

  11. K. Kotthoff, R. Machleidt and D. Schütte, Nucl.Phys. A264, 484 (1976).

    Google Scholar 

  12. T.S.H. Lee and F. Tabakin, Nucl.Phys. A191, 332 (1972).

    Google Scholar 

  13. M.R. Anastasio et al., Phys.Reports 100, 327 (1983).

    Article  Google Scholar 

  14. C.J. Horowitz and B.D. Serot, Phys.Lett. 137B, 287 (1984).

    Google Scholar 

  15. R. Machleidt, in: Quarks and Nuclear Structure (K. Bleuler, ed.), Lecture Notes in Physics (Springer Verlag, Heidelberg, 1984), Vol. 197, p.352

    Google Scholar 

  16. R. Machleidt, K. Holinde and C. Elster, to be published.

    Google Scholar 

  17. E.E. Salpeter and H.A. Bethe, Phys.Rev. 84, 1232 (1951).

    Article  Google Scholar 

  18. J. Fleischer and J.A. Tjon, Phys.Rev. D21, 87 (1980)

    Google Scholar 

  19. M.J. Zuilhof and J.A. Tjon, Phys.Rev. C24, 736 (1981).

    Google Scholar 

  20. R.M. Woloshyn and A.D. Jackson, Nucl.Phys. B64, 269 (1973).

    Article  Google Scholar 

  21. G.E. Brown and A.D. Jackson, The Nucleon-Nucleon-Interaction, (North-Holland Publ.Comp.Amsterdam, 1976).

    Google Scholar 

  22. R.H. Thompson, Phys.Rev. D1, 1738 (1970).

    Google Scholar 

  23. R. Blankenbecler and R. Sugar, Phys.Rev. 142, 1051 (1966).

    Article  Google Scholar 

  24. R. Machleidt and K. Holinde, Phys.Lett., to be published.

    Google Scholar 

  25. R. Dubois et al., Nucl.Phys. A377, 554 (1982).

    Google Scholar 

  26. R.A. Arndt et al., Phys.Rev. D28, 97 (1983).

    Google Scholar 

  27. R.V. Reid, Ann.Phys. (N.Y.) 50, 411 (1968).

    Article  Google Scholar 

  28. M. Lacombe, Phys.Rev. C21, 861 (1980).

    Google Scholar 

  29. T. Hamada and I.D. Johnston, Nucl.Phys. 34, 382 (1962).

    Article  Google Scholar 

  30. H.A. Bethe and M.B. Johnson, Nucl.Phys. A230, 1 (1974).

    Google Scholar 

  31. K. Holinde, Phys.Reports 68, 121 (1981), Table 1, column 1 and 2.

    Article  Google Scholar 

  32. R.A. Bryan and A. Gersten, Phys.Rev. D6, 341 (1972).

    Google Scholar 

  33. R. de Tourreil and D.W.L. Sprung, Nucl.Phys. A201, 193 (1973).

    Google Scholar 

  34. K. Holinde and R. Machleidt, Nucl.Phys. A256, 479 (1976).

    Google Scholar 

  35. R. Machleidt and K. Holinde, Nucl.Phys. A350, 396 (1980); δ1 is the result obtained in that work with the continuous choice for the single particle potential; for δ2 the mesonic effects were ignored.

    Google Scholar 

  36. K. Holinde and R. Machleidt, Nucl.Phys. A280, 429 (1977); note that for the result quoted in Fig.5a a continuous choice is used.

    Google Scholar 

  37. M.R. Anastasio et al., Phys.Rev. C18, 2416 (1978); the result quoted in Fig.5a refers to model MDFPδI applied with a continuous choice and without mesonic effects.

    Google Scholar 

  38. J.P. Jeukenne, A. Lejeune and C. Mahaux, Phys.Rev. 25C, 83 (1976)

    Google Scholar 

  39. B.D. Day, Phys.Rev. C24, 1203 (1981); see also Ref.6.

    Google Scholar 

  40. F. Coester, S. Cohen, B.D. Day and C.M. Vincent, Phys.Rev. C1, 769 (1970).

    Google Scholar 

  41. R. Brockmann and R. Machleidt, Phys.Lett. 149B, 283 (1984).

    Google Scholar 

  42. J.D. Bjorken and S.D. Drell, Relativistic Quantum Fields (McGrawHill, New York, 1965).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik II der Universität Erlangen-Nürnberg, Glückstr. 6, 8520, Erlangen, West-Germany

    R. Brockmann

  2. TRIUMF, 4004 Wesbrook Mall, V6T 2A3, Vancouver, B.C., Canada

    R. Machleidt

  3. Institut für Theoretische Kernphysik der Universität Bonn, Nußallee 14-16, 5300, West-Germany

    R. Machleidt

Authors
  1. R. Brockmann
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  2. R. Machleidt
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H. V. von Geramb

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© 1985 Springer-Verlag

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Brockmann, R., Machleidt, R. (1985). Relativistic Brueckner-Hartree-Fock approach for nuclear matter. In: von Geramb, H.V. (eds) Medium Energy Nucleon and Antinucleon Scattering. Lecture Notes in Physics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16054-X_187

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  • DOI: https://doi.org/10.1007/3-540-16054-X_187

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16054-0

  • Online ISBN: 978-3-540-39739-7

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