Mapping exchange in relativistic Hartree-Fock

Abstract

We show that formally for the standard ansatz relativistic point-coupling mean-field (RMF-PC) model a lagrangian density L is not equivalent in Hartree and Hartree-Fock approximations. The equivalency can be achieved only if we use a ``complete'' ansatz at the cost of introducing new parameters in the model. An approximate treatment of the exchange terms from standard RMF-PC indicates that these effects cannot be easily, if at all, absorbed by a Dirac-Hartree approximation.

26 pages, accepted for publication in annals of physics

References in corpus (8)

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• Superheavy Nuclei in the Relativistic Mean Field Theory
• Anomaly in the charge radii of Pb isotopes
• Potential energy surfaces of superheavy nuclei
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• b -> s gamma in a calculable model of Electroweak Symmetry Breaking
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• Density-Dependent Relativistic Hartree-Fock Approach
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• Localized form of Fock terms in nuclear covariant density functional theory
• The nonrelativistic limit of the relativistic point coupling model
• Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
• Covariant Density Functional Theory with Localized Exchange Terms
• Nilsson parameters kappa and mu in the relativistic mean field models
• Neutron Fraction and Neutrino Mean Free Path Predictions in Relativistic Mean Field Models
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes