Mapping exchange in relativistic Hartree-Fock

Details Mapping exchange in relativistic Hartree-Fock Mapping exchange in relativistic Hartree-Fock

2003-01-23

arxiv.org/abs/nucl-th/0301072v1

Annals Phys. 306 (2003) 36-57

Physics

Nuclear Physics

Nuclear Theory

26 pages, accepted for publication in annals of physics

Scientific paper

10.1016/S0003-4916(03)00073-3

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.

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