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Chinese Physics C> 2005, Vol. 29> Issue(11) : 1061-1066 

Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

  •  Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate School of the Chinese Academy of Sciences, Beijing 100049, China

  • The finite temperature Brueckner-Hartree-Fock (FTBHF) approach is extended by introducing a microscopic three-body force. Within the extended approach, the three-body force effects on the equation of state of hot nuclear matter and its temperature dependence have been investigated. The critical properties of the liquid-gas phase transition of hot nuclear matter have been calculated. It is shown that the three-body force provides a repulsive contribution to the equation of state of hot nuclear matter. The repulsive effect of the three-body force becomes more pronounced as the density and temperature increase and consequently inclusion of the three-body force contribution in the calculation reduces the predicted critical temperature from about 16MeV to about 13MeV. By separating the contribution originated from the 2σ-exchange process coupled to the virtual excitation of a nucleon-antinucleon pair from the full three-body force, the connection between the three-body force effect and the relativistic correction from the Dirac-Brueckner-Hartree-Fock has been explored. It turns out that the contribution of the 2σ-NN part is more repulsive than that of the full three-body force and the calculated critical temperature is about 11MeV if only the 2σ-NN component of the three-body force is included which is lower than the value obtained in the case of including the full three-body force and is close to the value predicted by the Dirac-Brueckner-Hartree-Fock (DBHF) approach. Our result provides a reasonable explanation for the discrepancy between the values of critical temperature predicted from the FTBHF approach including the three-body force and the DBHF approach.
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    [1] . Friedman B, Pandharipande V R. Nucl. Phys., 1981, A361:5022. Bertsch G, Siemens P J. Phys. Lett., 1983, B126: 93. Pethick C J, Ravenhall D G. Nucl. Phys., 1987, A471: 194. Satpathy L, Mishra M, Nayak R. Phys. Rev., 1989, C39:1625. Baldo M, Giansiracuso G, Lombardo U et al. Nucl. Phys.,1995, A583: 589c6. Bonche P, Levit S, Vautherin D. Nucl. Phys., 1984, A427:278; 1985, A436: 2567. Pochodzalla J, Mohlenkemp T, Rubehn T et al. Phys. Rev.Lett., 1995, 75: 10408. Natowitz J B, Wada R, Hagel K et al. Phys. Rev., 2002,C65: 034618; Lopez O. Nucl. Phys., 2001, A685: 2469. Gupta S D, Mekjian A Z, Tsang M B. Adv. Nucl. Phys.,2001, 26: 9110. Prakash M, Bombaci I, Prakash M et al. Phys. Rep., 1997,280: 111. Strobel K, Sohaab C, Weigel M K. Astron. Astrophys.,1999, 350: 49712. Jaqaman H R, Mekjian A Z, Zamick L. Phys. Rev., 1983,C27: 2782; 1984, C29: 206713. Lattimer J M, Pethick C J, Ravenhall D G et al. Nucl.Phys., 1985, A432: 64614. SU R K, YANG S D, Kuo T T S. Phys. Rev., 1987, C35:1539; SONG H Q, SU R K. Phys. Rev., 1991, C44: 250515. Catalano D, Giansiracusa G, Lombardo U. Nucl. Phys.,2001, A681: 39016. Glendenning N K. Nucl. Phys., 1987, A469: 60017. M#252;ller H, Serot B D. Phys. Rev., 1995, C52: 207218. Haar B ter, Malfliet R. Phys. Rep., 1987, 149: 20719. Huber H, Weber F, Weigel M K. Phys. Rev., 1998, C57:348420. ZUO W, Lejeune A, Lombardo U et al. Nucl. Phys., 2002,A706: 418; ZUO W, Lombardo U. High Energy Phys. andNucl. Phys., 2002, 26: 1134(in Chinese)(左维，Lombardo U.高能物理与核物理，2002, 26: 1134)21. Brockmann R, Malfliet R. Phys. Rev., 1990, C42: 196522. Fuchs C. Lect. Notes Phys., 2004, 641: 11923. Grang#233; P, Lejeune A, Martzolff M et al. Phys. Rev., 1989,C40: 104024. Lejeune A, Grang′e P, Martzolff M et al. Nucl. Phys., 1986,A453: 18925. Baldo M. Nuclear Methods and the Nuclear Equation ofState. Ed Baldo M. Singapore: World Scientific, 1999. 126. Bombaci I, Kuo T T S, Lombardo U. Phys. Rep., 1994,242: 16527. Wiringa R B, Stoks V G J, Schiavilla R. Phys. Rev., 1995,C51: 2828. Jeukenne J P, Lejeune A, Mahaux C. Phys. Rep., 1976,C25: 8329. SONG H Q, Baldo M, Giansiracusa G et al. Phys. Rev.Lett., 1998, 81: 158430. Baldo M, Bombaci I, Ferreira L S et al. Phys. Rev., 1991,C43: 260531. Baldo M, Bombaci I, Burgio G F. Astron. Astrophys., 1997,328: 27432. ZUO W, Bombaci I, Lombardo U. Phys. Rev., 1999, C60:02460533. Brown G E, Weise W, Baym G et al. Comments Nucl.Phys., 1987, 17: 39

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ZUO Wei, LU Guang-Cheng, LI Zeng-Hua and LUO Pei-Yan. Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect[J]. Chinese Physics C, 2005, 29(11): 1061-1066.
ZUO Wei, LU Guang-Cheng, LI Zeng-Hua and LUO Pei-Yan. Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect[J]. Chinese Physics C, 2005, 29(11): 1061-1066. shu
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Received: 2005-02-22
Revised: 1900-01-01
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Critical Temperature of Lequid-gas Phase Transition for Hot Nuclear Matter and Three-body Force Effect

    Corresponding author: ZUO Wei,
  • Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
  • Received Date: 2005-02-22
  • Accepted Date: 1900-01-01
  • Available Online: 2005-11-05

Abstract: The finite temperature Brueckner-Hartree-Fock (FTBHF) approach is extended by introducing a microscopic three-body force. Within the extended approach, the three-body force effects on the equation of state of hot nuclear matter and its temperature dependence have been investigated. The critical properties of the liquid-gas phase transition of hot nuclear matter have been calculated. It is shown that the three-body force provides a repulsive contribution to the equation of state of hot nuclear matter. The repulsive effect of the three-body force becomes more pronounced as the density and temperature increase and consequently inclusion of the three-body force contribution in the calculation reduces the predicted critical temperature from about 16MeV to about 13MeV. By separating the contribution originated from the 2σ-exchange process coupled to the virtual excitation of a nucleon-antinucleon pair from the full three-body force, the connection between the three-body force effect and the relativistic correction from the Dirac-Brueckner-Hartree-Fock has been explored. It turns out that the contribution of the 2σ-NN part is more repulsive than that of the full three-body force and the calculated critical temperature is about 11MeV if only the 2σ-NN component of the three-body force is included which is lower than the value obtained in the case of including the full three-body force and is close to the value predicted by the Dirac-Brueckner-Hartree-Fock (DBHF) approach. Our result provides a reasonable explanation for the discrepancy between the values of critical temperature predicted from the FTBHF approach including the three-body force and the DBHF approach.

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