Pair-energy double counting in Hartree orbital sums

For Hartree direct integrals $J_{ij}$ and orbital eigenvalues ${ϵ}_i$, the product-state energy is $E={\sum }_i{ϵ}_i-{\sum }_{i<j}{J}_{ij}$. Each pair enters two orbital mean fields but only once in the total interaction energy. Orbital energies are therefore not independent additive particle energies.