%0 Journal Article %T Existence of Minimizers in Restricted Hartree-Fock Theory %A Fabian Hantsch %J Physics %D 2012 %I arXiv %X In this note we establish the existence of ground states for atoms within several restricted Hartree-Fock theories. It is shown, for example, that there exists a ground state for closed shell atoms with $N$ electrons and nuclear charge $Z \geq N-1$. This has to be compared with the general Hartree-Fock theory where the existence of a minimizer is known for $Z>N-1$ only. %U http://arxiv.org/abs/1206.4932v1