The European Physical Journal A

, Volume 44, Issue 1, pp 119–124 | Cite as

Spin symmetry in Dirac negative-energy spectrum in density-dependent relativistic Hartree-Fock theory

  • Haozhao Liang
  • Wen Hui Long
  • Jie Meng
  • Nguyen Van Giai
Regular Article - Theoretical Physics


The spin symmetry in the Dirac negative-energy spectrum and its origin are investigated for the first time within the density-dependent relativistic Hartree-Fock (DDRHF) theory. Taking the nucleus 16O as an example, the spin symmetry in the negative-energy spectrum is found to be a good approximation and the dominant components of the Dirac wave functions for the spin doublets are nearly identical. In comparison with the relativistic Hartree approximation where the origin of spin symmetry lies in the equality of the scalar and vector potentials, in DDRHF the cancellation between the Hartree and Fock terms is responsible for the better spin symmetry properties and determines the subtle spin-orbit splitting. These conclusions hold even in the case when significant deviations from the G -parity values of the meson-antinucleon couplings occur.


Spin Symmetry Spin Doublet Orbit Potential Dirac Wave Function Spin Partner 
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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Haozhao Liang
    • 1
    • 2
  • Wen Hui Long
    • 1
    • 3
  • Jie Meng
    • 1
    • 4
    • 5
  • Nguyen Van Giai
    • 2
  1. 1.State Key Laboratory of Nuclear Physics and Technology, School of PhysicsPeking UniversityBeijingChina
  2. 2.Institut de Physique NucléaireIN2P3-CNRS and Université Paris-SudOrsay CedexFrance
  3. 3.Physik-Department der Technischen Universität MünchenGarchingGermany
  4. 4.School of Physics and Nuclear EnergyBeihang UniversityBeijingChina
  5. 5.Department of PhysicsUniversity of StellenboschStellenboschSouth Africa

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