On "Novel attractive forces" between ions in quantum plasmas -- failure of linearized quantum hydrodynamics

In a recent letter [P.K. Shukla and B. Eliasson, Phys. Rev. Lett. 108, 165007 (2012)] the discovery of a new attractive force between protons in a hydrogen plasma was reported that would be responsible for the formation of molecules and of a proton lattice. Here we show, based on ab initio density functional theory calculations, that these predictions are wrong and caused by using linearized quantum hydrodynamics beyond the limits of its applicability.