Isospin-Dependence of Nucleon Potential and Effective Mass in Relativistic Approach

  • The isospin-dependence of nucleon optical potentials and the nucleon effective mass is studied in the framework of the Dirac Brueckner Hartree-Fock (DBHF) approach. A new decomposition of the Dirac structure of the nuclear self-energy in the DBHF is extended to asymmetric nuclear matter calculations. The real part of the nucleon self-energy in asymmetric nuclear matter is calculated with the G-matrix in the Hartree-Fock approach, while the imaginary part is obtained from the polarization diagram. The nucleon vector effective mass is derived from the Schroedinger equivalent potentials. It is found that the neutron vector effective mass is larger than that of proton in the neutron-rich nuclear matter once the energy dependence of the nucleon potentials is considered.
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  • [1] . Schiller E, Mü ther H. Eur. Phys. J., 2001, A11:152. Ulrych S, Mü ther H. Phys. Rev., 1997, C56: 17883. MA Zhong-Yu, LIU Ling. Phys. Rev., 2002, C66: 0243214. Horowitz C J. Nucl. Phys., 1984, A412: 2285. MA Zhong-Yu, ZHU Ping, GU Ying-Qi et al. Nucl. Phys.,1998, A490: 6196. Lane A M. Phys. Rev. Lett., 1962, 8: 171; Lane A M. Nucl.Phys., 1962, 35: 6767. Mahaux C, Bortignon P F, Broglia R A et al. Phys. Rep.,1985, 120: 18. Jaminon M, Mahuax C. Phys. Rev., 1989, C40: 3549. MA Zhong-Yu, RONG Jian, CHEN Bao-Qiu et al. Phys.Lett., 2004, B604: 17010. Sjberg O. Nucl. Phys., 1976, A265: 51111. Bombaci I, Lambardo U. Phys. Rev., 1991, C44: 1892;ZUO W, Bambaci I, Lambardo U. Phys. Rev., 1999, C60:24605; ZUO W, Lejeune A, Lambardo U et al. Eur. Phys.J., 2002, A14: 46912. LI B A. Phys. Rev., 2004, C69: 064602
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MA Zhong-Yu and RONG Jian. Isospin-Dependence of Nucleon Potential and Effective Mass in Relativistic Approach[J]. Chinese Physics C, 2006, 30(12): 1230-1233.
MA Zhong-Yu and RONG Jian. Isospin-Dependence of Nucleon Potential and Effective Mass in Relativistic Approach[J]. Chinese Physics C, 2006, 30(12): 1230-1233. shu
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Received: 2006-07-10
Revised: 1900-01-01
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Isospin-Dependence of Nucleon Potential and Effective Mass in Relativistic Approach

    Corresponding author: MA Zhong-Yu,
  • China Institute of Atomic Energy, Beijing 102413, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

Abstract: The isospin-dependence of nucleon optical potentials and the nucleon effective mass is studied in the framework of the Dirac Brueckner Hartree-Fock (DBHF) approach. A new decomposition of the Dirac structure of the nuclear self-energy in the DBHF is extended to asymmetric nuclear matter calculations. The real part of the nucleon self-energy in asymmetric nuclear matter is calculated with the G-matrix in the Hartree-Fock approach, while the imaginary part is obtained from the polarization diagram. The nucleon vector effective mass is derived from the Schroedinger equivalent potentials. It is found that the neutron vector effective mass is larger than that of proton in the neutron-rich nuclear matter once the energy dependence of the nucleon potentials is considered.

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