Zeitschrift für Physik A Hadrons and Nuclei

, Volume 352, Issue 4, pp 441–448 | Cite as

Nuclear matter in nonlinear σ model

  • B. L. Birbrair
  • A. B. Gridnev
Hadron Physics


In a simple version of the nonlinear σ model the nuclear matter behaves as a system of nucleons interacting via two-body forces with a radius which decreases with increasing density. This allows us to apply the Khodel-Shaginyan method which is adjusted to our approach by taking into account the pseudoscalar-isovector symmetry of pion field and both the scalar and pseudoscalar effective interactions. In contrast to the QHD [1] there is no vacuum corrections in our approach.


21.65+f 11.30Rd 


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  1. [1]
    B.D. Serot and J.D. Walecka, Advances in Nuclear Physics,16 (1986).Google Scholar
  2. [2]
    J.A. McNeil, C.E. Price and J.R. Shepard, Phys. Rev. C47 (1993) 1534.Google Scholar
  3. [3]
    R. Brockman and J. Frank, Phys. Rev. Lett.68 (1992) 1830.Google Scholar
  4. [4]
    C. Bedau and F. Beck, Nucl. Phys. A560 (1993) 518.Google Scholar
  5. [5]
    V.A. Khodel and V.R. Shaginyan, Nucl. Phys. A500 (1989) 242.Google Scholar
  6. [6]
    D. Pines and P. Nozieres “The theory of quantum liquids”, N.Y., 1968.Google Scholar
  7. [7]
    A.A. Abrikosov, L.P. Gor'kov and I.E. Dzyaloshinski “Quantum field theory methods in statistical physics”, M. 1962.Google Scholar
  8. [8]
    C. Itzykson and J.B. Zuber, “Quantum field theory” N.Y. 1980.Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • B. L. Birbrair
    • 1
  • A. B. Gridnev
    • 1
  1. 1.Petersburg Nuclear Physics Institute GatchinaSt. PetersburgRussia

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