DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

  • Within the framework of Dirac Brueckner-Hartree-Fock (DBHF) approach, we calculate the energy per nucleon, the pressure, the nucleon self-energy and the single-nucleon energy in the nuclear matter by adopting two different covariant representations for T-matrix. We mainly investigate the influence of different covariant representations on the satisfiable extent of the Hugenholtz-Van Hove (HVH) theorem in the nuclear medium in the framework of DBHF. By adopting the two different covariant representations of T-matrix, the predicted nucleon self-energy shows a quite different momentum and density dependence. Different covariant representations affect remarkably the satisfiable extent of the HVH theorem. By adopting the complete pseudo-vector representation of the T-matrix, HVH theorem is largely violated, which is in agreement with the result in the non-relativistic Brueckner-Hartree-Fock approach and reflects the importance of ground state correlations for single nucleon properties in nuclear medium, whereas by using the pseudo-scalar representation, the ground state correlation cannot be shown. It indicates that the complete pseudo-vector presentation is more feasible than the pseudo-scalar one.
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LUO Pei-Yan, ZUO Wei, LI Zeng-Hua, YONG Gao-Chan and XU Zhong-Feng. DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations[J]. Chinese Physics C, 2006, 30(10): 976-982.
LUO Pei-Yan, ZUO Wei, LI Zeng-Hua, YONG Gao-Chan and XU Zhong-Feng. DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations[J]. Chinese Physics C, 2006, 30(10): 976-982. shu
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Received: 2005-12-26
Revised: 2006-01-23
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DBHF Approach and Thermodynamic Consistency for Nuclear Matter Calculations

    Corresponding author: ZUO Wei,
  • Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Abstract: Within the framework of Dirac Brueckner-Hartree-Fock (DBHF) approach, we calculate the energy per nucleon, the pressure, the nucleon self-energy and the single-nucleon energy in the nuclear matter by adopting two different covariant representations for T-matrix. We mainly investigate the influence of different covariant representations on the satisfiable extent of the Hugenholtz-Van Hove (HVH) theorem in the nuclear medium in the framework of DBHF. By adopting the two different covariant representations of T-matrix, the predicted nucleon self-energy shows a quite different momentum and density dependence. Different covariant representations affect remarkably the satisfiable extent of the HVH theorem. By adopting the complete pseudo-vector representation of the T-matrix, HVH theorem is largely violated, which is in agreement with the result in the non-relativistic Brueckner-Hartree-Fock approach and reflects the importance of ground state correlations for single nucleon properties in nuclear medium, whereas by using the pseudo-scalar representation, the ground state correlation cannot be shown. It indicates that the complete pseudo-vector presentation is more feasible than the pseudo-scalar one.

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