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In a classical plasma the momentum distribution, $n(k)$, decaysexponentially, for large $k$, and the same is observed for an ideal Fermi gas.However, when quantum and correlation effects are relevant simultaneously, analgebraic decay, $n_\infty(k)\sim k^{-8}$ has been predicted. This is ofrelevance for cross sections and threshold processes in dense plasmas thatdepend on the number of energetic particles. Here we present extensive\textit{ab initio} results for the momentum distribution of the nonidealuniform electron gas at warm dense matter conditions. Our results are based onfirst principle fermionic path integral Monte Carlo (CPIMC) simulations andclearly confirm the $k^{-8}$ asymptotic. This asymptotic behavior is directlylinked to short-range correlations which are analyzed via the on-top pairdistribution function (on-top PDF), i.e. the PDF of electrons with oppositespin. We present extensive results for the density and temperature dependenceof the on-top PDF and for the momentum distribution in the entire momentumrange.

Momentum distribution function and short-range correlations of the warm dense electron gas -- ab initio quantum Monte Carlo results