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Quark condensate in the nuclear matter

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

We calculate the quark condensate in the nuclear matter, taking into account the single-pion and two-pion exchanges between nucleons. We find the dependence of the averaged value of the quark operator¯qq on the density of the matterρ. At very low density the nonlinear terms are proportional toρ 2 and increase the tendency to restoration of the chiral symmetry. At larger values of density the account of interaction inside the matter slower down the restoration of chiral symmetry compared to the gas approximation law. The leading nonlinear term in Fermi momentum power expansion becomes of the orderρ 4/3. The value of the condensate at the saturation value of density is obtained. The role of multinucleon effects is analyzed.

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References

  1. M.Gell-Mann, R.J.Oakes and B.Renner, Phys.Rev.175 (1968) 2195.

    Google Scholar 

  2. E.G.Drukarev and E.M.Levin, JETP Lett.48 (1988) 338; JETP68 (1989) 680.

    Google Scholar 

  3. M.Ericson, Phys.Lett.B301 (1993) 11.

    Google Scholar 

  4. E.G.Drukarev, E.M. Levin, Nucl.Phys.A511 (1990) 679; Progr.Part.Nucl.Phys.27 (1991) 77.

    Google Scholar 

  5. E.G.Drakarev, M.G. Ryskin, Nucl.Phys.AS78 (1994) 333.

    Google Scholar 

  6. G.Chanfray, M.Ericson, Nucl.Phys.A556 (1993) 427.

    Google Scholar 

  7. B.L.Friman, V.A.Pandharipande, R.B.Wiringa, Phys.Rev.Lett.51 (1989) 763.

    Google Scholar 

  8. G. Chanfray, M.Ericson, M.Kirchbach, Preprint LYCE No.9321; Mod. Phys. Lett.A9 (1994) 279.

  9. T.D.Cohen, RJ.Furnstahl, D.K.Griegel, Phys.Rev.C45 (1992) 1881.

    Google Scholar 

  10. M.Lutz, S.Klimt and W.Weise, Nucl.Phys.A542 (1992) 521.

    Google Scholar 

  11. L.S.Celenza, A.Pantziris, C.M.Shakin, Wei Dong Sun, Phys.Rev.C45 (1992) 2015;

    Google Scholar 

  12. L.S. Celenza, C.M. Shakin, Wei Dong Sun, and Ziquan Zhu, Phys.Rev.C48 (1993) 159.

    Google Scholar 

  13. K.Saito, A.W.Thomas, Phys.Lett.327B (1994) 9.

    Google Scholar 

  14. R.B.Wiringa, R.A.Smith, T.L.Ainsworth, Phys.Rev.C29 (1984) 1207.

    Google Scholar 

  15. Th.A.Rijken, V.G.J.Stoks, Phys.Rev.C46 (1992) 73.

    Google Scholar 

  16. T.Ericson and W.Weise, ”Pions and Nuclei”, Oxford, 1988.

  17. A.L.Fetter, J.D.Walecka ”Quantum theory of many-particle systems”, N.Y.1971.

  18. T.P.Cheng, Phys.Rev.D13 (1976) 2161.

    Google Scholar 

  19. T.P.Cheng, R.Dashen, Phys.Rev.Lett.26 (1971) 594.

    Google Scholar 

  20. U.Wiedner et al., Phys.Rev.Lett.58 (1987) 648.

    Google Scholar 

  21. J.Gasser, H.Leutwyler, M.E.Saino, Phys.Rev.Lett.B253 (1991) 252.

    Google Scholar 

  22. J. Casser, M.E. Saino, A.Svare, Nucl.Phys.B307 (1988) 779.

    Google Scholar 

  23. H.Leutwyler, Phys.Lett.B42 (1974) 431.

    Google Scholar 

  24. V.Bernard, R.L.Jaffe and U.C.Meissner, Phys.Lett.B198 (1987) 92.

    Google Scholar 

  25. T.Hatsuda, T.Kunihiro, Phys.Rep.247 (1994) 224.

    Google Scholar 

  26. M.Ericson and M.Rosa-Clot, Phys.Lett.B188 (1987) 11.

    Google Scholar 

  27. A.B.Migdal., ”The theory of finite Fermi-systems”, Moscow, 1983.

  28. G.E.Brown, Nucl.Phys.A522 (1991) 397.

    Google Scholar 

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Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, 188350, Gatchina, St.Petersburg, Russia

    E. G. Drukarev, M. G. Ryskin & V. A. Sadovnikova

Authors
  1. E. G. Drukarev
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  2. M. G. Ryskin
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  3. V. A. Sadovnikova
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Additional information

Communicated by V.V. Anisovich

This work was preceded by very useful discussions with Prof.G.E.Brown and also with Prof.M.K.Banerjee, and with Prof.C.M.Shakin. The work was supported by the Russian Fund for Fundamental research — grant 95-02-0375-a. One of us (E.D.) received also the partial support by grant ISFM9H000 of International Science Foundation.

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Drukarev, E.G., Ryskin, M.G. & Sadovnikova, V.A. Quark condensate in the nuclear matter. Z. Physik A - Hadrons and Nuclei 353, 455–466 (1996). https://doi.org/10.1007/BF01285156

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  • DOI: https://doi.org/10.1007/BF01285156

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