The Relativistic Hartree—Fock Approach

  • Lev N. Savushkin
  • Hiroshi Toki
Part of the Theoretical and Mathematical Physics book series (TMP)


In Chap. 4 we summarized the current status of the relativistic theory of nuclear structure with self-interactions of mesonic fields in the relativistic mean-field approximation. In the context of the discussions in this chapter, the relativistic mean-field theory corresponds to the relativistic Hartree approximation. In spite of the success of this theory, some shortcomings should be pointed out:
  1. 1.

    Too small a value of the symmetry energy is obtained if the coupling constant g p takes its experimental value. In fact, important contributions due to exchange (Fock) terms and p -N tensor coupling are missing in this approach (see, however, Sect. 5.1).

  2. 2.

    Though the spin orbit force is globally rather well described, this theory is unable to reproduce reasonably well the reduction of d-state splitting when going from 40Ca to 48Ca.

  3. 3.

    The mean-field approach cannot take into account the effective spinspin interaction that arises from the identity of the nucleons through the antisymmetrization of the wave function. This effect is more important in spin-unsaturated systems [331].

  4. 4.

    The Hartree approximation, in principle, corresponds only to instantaneous interaction (without retardation)1.



Dirac Equation Nuclear Matter Symmetry Energy Pseudospin Symmetry Symmetric Nuclear Matter 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Lev N. Savushkin
    • 1
  • Hiroshi Toki
    • 2
  1. 1.Department of PhysicsSt. Petersburg University for TelecommunicationsSt. PetersburgRussia
  2. 2.RCNPOsaka UniversityOsakaJapan

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