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A relativistic approach to the equation of state of asymmetric nuclear matter

  • Regular Article - Theoretical Physics
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Abstract.

The properties of asymmetric nuclear matter for a wide range of densities and asymmetric parameters are investigated within the lowest-order-constrained variational (LOCV) method by employing the relativistic Hamiltonian with a potential which has been fitted relativistically to N-N phase shifts ( \( \tilde{{v}}_{{14}}^{}\) and to the AV14interaction. Like our previous work on symmetric nuclear matter, the boost interaction corrections as well as the relativistic one-body and two-body kinetic corrections are calculated. The various properties of asymmetric nuclear matter such as the symmetry energy, the saturation energy and the validity of the \( \alpha^{2}_{}\) law, etc., are examined. The symmetry energy is reduced by about 7MeV when we use \( \tilde{{v}}_{{14}}^{}\) instead of its non-relativistic version, i.e. the AV14interaction. The results are compared with other many-body calculations.

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References

  1. I. Tanihata, Prog. Part. Nucl. Phys. 35, 505 (1995)

    Article  ADS  Google Scholar 

  2. P.J. Hansen, A.S. Jensen, B. Jonson, Annu. Rev. Nucl. Part. Sci. 45, 591 (1995)

    Article  ADS  Google Scholar 

  3. I. Tanihata, J. Phys. G 22, 157 (1996)

    Article  ADS  Google Scholar 

  4. M. Baldo (Editor), Methods and the Nuclear Equation of State (World Scientific, 1990)

  5. R. Stock et al., Phys. Rev. Lett. 49, 1236 (1982)

    Article  ADS  Google Scholar 

  6. H. Stocker, W. Greiner, Phys. Rep. 137, 137 (1986)

    Article  Google Scholar 

  7. G.F. Bertsch, S. Das Gupta, Phys. Rep. 160, 189 (1988)

    Article  ADS  Google Scholar 

  8. J.M. Lattimer, C.J. Pethick, M. Prakash, P. Haensel, Phys. Rev. Lett. 66, 2701 (1991)

    Article  ADS  Google Scholar 

  9. M. Prakash, I. Bombaci, P.J. Ellis, R. Knorren, J.M. Lattimar, Phys. Rep. 280, 1 (1997)

    Article  ADS  Google Scholar 

  10. E. Baron, J. Cooperstein, S. Kahana, Nucl. Phys. A 440, 744 (1985)

    Article  ADS  Google Scholar 

  11. I. Bombaci, T.T.S. Kuo, U. Lombardo, Phys. Rep. 242, 165 (1994)

    Article  ADS  Google Scholar 

  12. L.D. Miller, A.E.S. Green, Phys. Rev. C 5, 241 (1972)

    Article  ADS  Google Scholar 

  13. R. Brockmann, Phys. Rev. C 18, 1510 (1978)

    Article  ADS  Google Scholar 

  14. C.J. Horowitz, B.D. Serot, Nucl. Phys. A 368, 503 (1981)

    Article  ADS  Google Scholar 

  15. B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)

    Google Scholar 

  16. S.J. Wallance, Annu. Rev. Nucl. Part. Sci. 37, 267 (1987)

    Article  ADS  Google Scholar 

  17. J.D. Walecka, Ann. Phys. (N.Y.) 83, 491 (1974)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. M. Farine, J.M. Person, B. Rouben, Nucl. Phys. A 304, 317 (1978)

    Article  ADS  Google Scholar 

  20. J.M. Person et al., Nucl. Phys. A 528, 1 (1991)

    Article  ADS  Google Scholar 

  21. J.M. Lattimer, D.G. Ravenhall, Astrophys. J. 223, 314 (1978)

    Article  ADS  Google Scholar 

  22. H. Muller, B.D. Serot, Phys. Rev. C 52, 2072 (1995)

    Article  ADS  Google Scholar 

  23. N.K. Glendenning, Compact Stars (Springer, New York, 1997)

  24. B. Bakamjian, L.H. Thomas, Phys. Rev. 92, 1300 (1952)

    Article  MathSciNet  ADS  Google Scholar 

  25. R.A. Krajcik, L.L. Foldy, Phys. Rev. D 10, 1777 (1974)

    Article  ADS  Google Scholar 

  26. P.E. Haustein, At. Data Nucl. Data Tables 39, 185 (1988)

    Article  ADS  Google Scholar 

  27. T. Matsui, Nucl. Phys. A 370, 365 (1981)

    Article  ADS  Google Scholar 

  28. M. Rufa et al., Phys. Rev. C 38, 390 (1988)

    Article  ADS  Google Scholar 

  29. I. Bombaci, U. Lombardo, Phys. Rev. C 44, 1892 (1991)

    Article  ADS  Google Scholar 

  30. H.Q. Song, Z.X. Wang, T.T.S. Kuo, Phys. Rev. C 46, 1788 (1992)

    Article  ADS  Google Scholar 

  31. M.R. Anastasio, L.S. Celenza, W.S. Pong, C.M. Shakin, Phys. Rep. 100, 327 (1983)

    Article  ADS  Google Scholar 

  32. B. ter Haar, R. Malfliet, Phys. Rep. 149, 207 (1987)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  34. R. Brockmann, R. Machleidt, Phys. Rev. C 42, 1965 (1990)

    Article  ADS  Google Scholar 

  35. G.Q. Li, R. Machleidt, R. Brockmann, Phys. Rev. C 45, 2782 (1992)

    Article  ADS  Google Scholar 

  36. C.-H. Lee, T.T.S. Kuo, G.Q. Li, G.E. Brown, Phys. Rev. C 57, 3488 (1998)

    Article  ADS  Google Scholar 

  37. H.R. Moshfegh, S. Zaryouni, Eur. Phys. J. A 43, 284 (2010)

    Article  ADS  Google Scholar 

  38. J. Carlson, V.R. Pandharipande, R. Schiavilla, Phys. Rev. C 47, 484 (1993)

    Article  ADS  Google Scholar 

  39. V.R. Pandharipande, Nucl. Phys. A 174, 641 (1971)

    Article  ADS  Google Scholar 

  40. S. Zaryouni, H.R. Moshfegh, Int. J. Mod. Phys. E 14, 297 (2005)

    Article  ADS  Google Scholar 

  41. G.H. Bordbar, M. Modarres, Phys. Rev. C 57, 714 (1998)

    Article  ADS  Google Scholar 

  42. M. Modarres, H.R. Moshfegh, Prog. Theor. Phys. 112, 21 (2004)

    Article  MATH  ADS  Google Scholar 

  43. H.R. Moshfegh, M. Modarres, Nucl. Phys. A 759, 79 (2005)

    Article  ADS  Google Scholar 

  44. M. Modarres, H.R. Moshfegh, Phys. Rev. C 62, 044308 (2000)

    Article  ADS  Google Scholar 

  45. M. Modarres, J.M. Irvine, J. Phys. G: Nucl. Phys. 5, 7 (1979)

    Article  ADS  Google Scholar 

  46. H.R. Moshfegh, M. Modarres, J. Phys. G: Nucl. Part. Phys. 24, 821 (1998)

    Article  ADS  Google Scholar 

  47. M. Modarres, J.M. Irvine, J. Phys. G: Nucl. Phys. 5, 511 (1979)

    Article  ADS  Google Scholar 

  48. A. Akmal, V.R. Pandharipande, D.G. Ravenhall, Phys. Rev. C 58, 1804 (1998)

    Article  ADS  Google Scholar 

  49. J.L. Forest, V.R. Pandharipande, A. Arriaga, Phys. Rev. C 60, 014002 (1999)

    Article  ADS  Google Scholar 

  50. J.L. Forest, V.R. Pandharipande, J.L. Friar, Phys. Rev. C 52, 568 (1995)

    Article  ADS  Google Scholar 

  51. J.L. Forest, V.R. Pandharipande, J. Carlson, R. Schiavilla, Phys. Rev. C 52, 576 (1995)

    Article  ADS  Google Scholar 

  52. D. Alonso, F. Sammarruca, Phys. Rev. C 67, 054301 (2003)

    Article  ADS  Google Scholar 

  53. W. Zuo, A. Lejeune, U. Lombardo, J.F. Mathiot, Eur. Phys. J. A 14, 469 (2002)

    Article  ADS  Google Scholar 

  54. M. Modarres, G.H. Bordbar, Phys. Rev. C 58, 2781 (1998)

    Article  ADS  Google Scholar 

  55. G.H. Bordbar, M. Modarres, Phys. Rev. C 57, 1 (1998)

    Article  Google Scholar 

  56. H. Huber, F. Weber, M.K. Weigel, Phys. Rev. C 57, 3484 (1998)

    Article  ADS  Google Scholar 

  57. R.B. Wiringa, V. Ficks, A. Fabrocini, Phys. Rev. C 38, 1010 (1988)

    Article  ADS  Google Scholar 

  58. J. Calson, V.R. Pandharipande, Nucl. Phys. A 401, 593 (1981)

    Google Scholar 

  59. L. Engvik, M. Hjorth-Jensen, R. Machleidet, H. Muther, A. Polls, Nucl. Phys. A 627, 85 (1997)

    Article  ADS  Google Scholar 

  60. I. Vidana, C. Providencia, Phys. Rev. C 80, 045806 (2009)

    Article  ADS  Google Scholar 

  61. M. Modarres, J. Phys. G: Nucl. Part. Phys. 23, 923 (1997)

    Article  ADS  Google Scholar 

  62. P. Gogelein, E.N.E. van Dalen, Kh. Gad, Kh.S.A. Hassaneen, H. Muther, Phys. Rev. C 79, 024308 (2009)

    Article  ADS  Google Scholar 

  63. D.N. Basu, P. Roy Chowdhury, C. Samanta, Phys. Rev. C 80, 057304 (2009)

    Article  ADS  Google Scholar 

  64. S.S. Avancini, M.E. Bracco, M. Chiapparini, D.P. Menezs, Phys. Rev. C 67, 024301 (2003)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Bu-Ali Sina University, Hamedan, Iran

    S. Zaryouni

  2. Department of Physics, University of Tehran, P.O. Box 14395-547, 14399, Tehran, Iran

    H. R. Moshfegh

Authors
  1. S. Zaryouni
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  2. H. R. Moshfegh
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Correspondence to S. Zaryouni.

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Communicated by W. Nazarewicz

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Zaryouni, S., Moshfegh, H.R. A relativistic approach to the equation of state of asymmetric nuclear matter. Eur. Phys. J. A 45, 69–79 (2010). https://doi.org/10.1140/epja/i2010-10983-1

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  • DOI: https://doi.org/10.1140/epja/i2010-10983-1

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