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

ZUO Wei; LU Guang-Cheng; LI Zeng-Hua; LUO Pei-Yan

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

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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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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.

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Received: 2005-02-22
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

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