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The isospin coupling-channel decomposition of the potential energy densityfunctional is carried out within the covariant density functional theory, andtheir isospin and density dependence in particular the influence on thesymmetry energy is studied. It is found that both isospin-singlet andisospin-triplet components of the potential energy play the dominant role indeciding the symmetry energy, especially when the Fock diagram is introduced.The results illustrate a quite different mechanism to the origin of thesymmetry energy from the microscopic Brueckner-Hartree-Fock theory, anddemonstrate the importance of the Fork diagram in the CDF theory, especiallyfrom the isoscalar mesons, in the isospin properties of the in-medium nuclearforce at high density.

Isospin coupling-channel decomposition of nuclear symmetry energy in covariant density functional theory