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Chiral symmetry and nuclear matter equation of state

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Abstract

We investigate the effect on the nuclear matter equation of state (EOS) due to modification of meson and nucleon parameters in nuclear medium as a consequence of partial restoration of chiral symmetry. To get the EOS, we have used Brueckner-Bethe-Golstone formalism with Bonn-B potential as two-body interaction and QCD sum rule and Brown-Rho scaling prescriptions for modification of hadron parameters. We find that EOS is very much sensitive to the meson parameters. We can fit, with two body interaction alone, both the saturation density and the binding energy per nucleon.

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References

  1. V Koch, Int. J. Mod. Phys. E6, 203 (1967) and references therein

    ADS  Google Scholar 

  2. T Schafer and E V Shuryak, Rev. Mod. Phys. 70, 323 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  3. D Diakanov, hep-ph/9602375, talk given at International School of Physics, ‘Enrico Fermi’, course 80 (Varenna, Italy, 1995)

  4. Y Nambu and G Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. M A Shifman, A I Vainshtein and V I Zakharov, Nucl. Phys. B147, 385 (1979)

    Article  ADS  Google Scholar 

  7. E G Drukarev and E M Levin, Nucl. Phys. A511, 679 (1990)

    ADS  Google Scholar 

  8. T D Cohen, R J Frunstahl and D K Griegel, Phys. Rev. C45, 1881 (1992)

    ADS  Google Scholar 

  9. G E Brown and M Rho, Phys. Rep. 269, 333 (1996)

    Article  ADS  Google Scholar 

  10. R Rapp and J Wambach, Adv. Nucl. Phys. (2000); hep-ph/9909229

  11. C M Ko, V Koch and G Li, Ann. Rev. Nucl. Part. Sci. vol. 47; nucl-th/9702016

  12. A W Thomas, Nucl. Phys. A629, 20c (1998)

  13. CERES collaboration: G Agakichiev et al, Phys. Rev. Lett. 75, 1272 (1995) CERES collaboration: P Wurm et al, Nucl. Phys. A590, 103c (1995)

    Article  ADS  Google Scholar 

  14. HELIOS-3 Collaboration: M Masera, Nucl. Phys. A590, 93c (1995)

  15. G Q Li, C M Ko and G E Brown, Phys. Rev. Lett. 75, 4007 (1995); Nucl. Phys. A606, 568 (1996)

    Article  ADS  Google Scholar 

  16. G E Brown and M Rho, Phys. Rev. Lett. 66, 2720 (1991)

    Article  ADS  Google Scholar 

  17. K Saito, K Tsushima and A W Thomas, Phys. Rev. C55, 2637 (1997)

    ADS  Google Scholar 

  18. T Hatsuda and S H Lee, Phys. Rev. C46, R34 (1992)

  19. R Machleidt, Adv. Nucl. Phys. 19, 189 (1989)

    Google Scholar 

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

    Article  Google Scholar 

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

    ADS  Google Scholar 

  22. R V Reid, Ann. Phys. (NY) 50, 411 (1968)

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  24. M Lacombe, B Loiseau, J M Richard, R Vinh Mau, P Pires and R de Toureil, Phys. Rev. C21, 861 (1980)

    ADS  Google Scholar 

  25. K Hollinde and R Machleidt, Nucl. Phys. A247, 495 (1975)

    ADS  Google Scholar 

  26. G Schierholz, Nucl. Phys. B40, 332 (1972)

    ADS  Google Scholar 

  27. T Ueda, M Nack and A E S Green, Phys. Rev. C8, 2061 (1973)

    ADS  Google Scholar 

  28. B Friedman and V R Pandharipande, Nucl. Phys. A361, 502 (1981)

    ADS  Google Scholar 

  29. R B Wiringa, V Fiks and A Fabocini, Phys. Rev. C38, 1010 (1998)

    ADS  Google Scholar 

  30. M Baldo, I Bombaci and G F Burgio, Astrophys. J. 328, 274 (1997)

    ADS  Google Scholar 

  31. B ter Haar and R Malfliet, Phys. Rep. 208 (1987)

  32. C H Lee, T T S Kuo, G Q Li and G E Brown, Phys. Rev. C57, 3448 (1998)

    ADS  Google Scholar 

  33. G E Brown, W Weise, G Baym and J Speth, Comm. Nucl. Part. Phys. 17, 39 (1987)

    Google Scholar 

  34. I Sick, in Proc. Int. Conf. on Weak and Electromagnetic Interactions in Nuclei edited by H Klapdor (Springer Verlag, Berlin, (1986)

    Google Scholar 

  35. J P Blaizot, Phys. Rep. 64, 171 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  36. P Grange, A Lejeune, M Martzolff and J F Mathiot, Phys. Rev. C40, 1040 (1989)

    ADS  Google Scholar 

Download references

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Santra, A.B. Chiral symmetry and nuclear matter equation of state. Pramana - J Phys 57, 337–344 (2001). https://doi.org/10.1007/s12043-001-0043-7

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