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Prog. Theor. Phys. Vol. 92 No. 1 (1994) pp. 93-109

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Properties of Hot Asymmetric Nuclear Matter

Shigeru Nishizaki, Tatsuyuki Takatsuka and Jun Hiura

College of Humanities and Social Sciences, Iwate University, Morioka 020

(Received April 11, 1994)

Abstract:

Thermodynamic properties of asymmetric nuclear matter are studied by the temperature-dependent Hartree-Fock theory with the effective interaction. The asymmetry- and the temperature-dependences of the bulk quantities such as the internal energy, the entropy, the pressure and the specific heat as well as the single-particle quantities such as the effective mass and the potential depth are analyzed. In the effective interaction, a phenomenological term simulating the three-body interaction is introduced to assure the empirical saturation property and three cases specified by the incompressibility κ= 200, 250 and 300 MeV are considered. It is argued how the liquid-gas phase transition depends on κ relevant to the stiffness of nuclear equation of state. Also, the neutron star equation of state for three cases is discussed in relation to the causality condition and the neutron star mass 1.44 M⊙ of PSR1913 + 16. Finally a simplified treatment of the phenomenological term in the energy calculation at finite temperature is proposed.


URL : http://ptp.ipap.jp/link?PTP/92/93/
DOI : 10.1143/PTP.92.93

[ Full Text PDF : FREE ACCESS (1698K) ] Citation:


References:

  1. H. A. Bethe, G. E. Brown, J. Applegate and J. M. Lattimer, Nucl. Phys. A324 (1979), 487.
    R. I. Epstein and C. J. Pethick, Astrophys. J. 243 (1981), 1003[CrossRef].
    J. M. Lattimer, C. J. Pethick, D. G. Ravenhall and D. Q. Lamb, Nucl. Phys. A432 (1985), 646.
  2. E. Baron, J. Cooperstein and S. Kahana, Phys. Rev. Lett. 55 (1985), 126[APS]; Nucl. Phys. A440 (1985), 744.
  3. T. Takatsuka, Prog. Theor. Phys. 82 (1989), 475[PTP]; in “ Unstable Nuclei in Astrophysics", ed. S. Kubono and T. Kajino (World Scientific, 1992), p. 291.
  4. C. Samanta, D. Bandyopadhyay and J. M. De, Phys. Lett. B217 (1989), 381.
  5. C. Das and R. Sahu, Phys. Lett. B289 (1992), 217.
    C. Das, R. Sahu and R. K. Tripathi, Phys. Rev. C48 (1993), 1056[APS].
  6. I. Bombaci, T. T. S. Kuo and U. Lombardo, Phys. Lett. B311 (1993), 9.
  7. I. E. Lagaris and V. R. Pandharipande, Nucl. Phys. A369 (1981), 470.
    B. ter Haar and R. Malfliet, Phys. Rev. Lett. 59 (1987), 1652[APS].
    M. Lopez-Quelle, S. Marcos, R. Niembro, A. Bouyssy and Nguyen Van Giai, Nucl. Phys. A483 (1988), 479.
    I. Bombaci and U. Lombardo, Phys. Rev. C44 (1991), 1892[APS].
    H. Q. Song, Z. X. Wang and T. T. S. Kuo, Phys. Rev. C46 (1992), 1788[APS].
  8. K. E. Schmidt and V. R. Pandharipande, Phys. Lett. 87B (1979), 11.
    T. Yoshikoshi, K. Oyamatsu and M. Yamada, Prog. Theor. Phys. 79 (1988), 493[PTP].
  9. B. Friedman and V. R. Pandharipande, Nucl. Phys. A361 (1981), 502.
  10. A. Lejeune, P. Grange, M. Martzolff and J. Cugnon, Nucl. Phys. A453 (1986), 189.
  11. B. ter Haar and R. Malfliet, Phys. Rev. Lett. 56 (1986), 1237[APS]; Phys. Rep. 149 (1987), 207[CrossRef].
  12. C. Das, R. K. Tripathi and R. Sahu, Phys. Rev. C45 (1992), 2217[APS].
    V. K. Mishra, G. Fai, L. P. Csernai and E. Osnes, Phys. Rev. C47 (1993), 1519[APS].
  13. M. Kiguchi, Prog. Theor. Phys. 57 (1977), 1572[PTP].
  14. T. Takatsuka and J. Hiura, Prog. Theor. Phys. 79 (1988), 268[PTP].
  15. S. Nishizaki, T. Takatsuka, N. Yahagi and J. Hiura, Prog. Theor. Phys. 86 (1991), 853[PTP].
  16. I. E. Lagaris and V. R. Pandharipande, Nucl. Phys. A359 (1981), 349.
  17. T. Takatsuka, Prog. Theor. Phys. 75 (1986), 201[PTP].
  18. D. W. L. Sprung and P. K. Banerjee, Nucl. Phys. A168 (1971), 273.
  19. F. Coester, S. Cohen, B. Day and C. M. Vincent, Phys. Rev. C1 (1970), 769[APS].
  20. T. Kasahara, Y. Akaishi and H. Tanaka, Prog. Theor. Phys. Suppl. No. 56 (1974), 96[PTP].
    B. D. Day, Phys. Rev. Lett. 47 (1981), 226[APS]; Phys. Rev. C24 (1981), 1203[APS].
    B. D. Day and R. B. Wiringa, Phys. Rev. C32 (1985), 1057[APS].
  21. R. Brockman and R. Machleidt, Phys. Lett. 149 (1984), 283; Phys. Rev. C42 (1990), 1965[APS].
  22. B. V. Jacak, G. D. Westfall, C. K. Gelbke, L. H. Harwood, W. G. Lynch, D. K. Scott, H. Stöker, M. B. Tsang and T. J. M. Symons, Phys. Rev. Lett. 51 (1983), 1846[APS].
  23. R. B. Wiringa, V. Fiks and A. Fabrocini, Phys. Rev. C38 (1988), 1010[APS].
  24. T. Takatsuka, Prog. Theor. Phys. 78 (1987), 516[PTP].
  25. K. Kolehmainen, M. Prakash, J. M. Lattimer and J. R. Treiner, Nucl. Phys. A439 (1985), 535.
  26. T. Takatsuka, Prog. Theor. Phys. 73 (1985), 1043[PTP].

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