Momentum distribution function and short-range correlations of the warm dense electron gas: <i>Ab initio</i> quantum Monte Carlo results

In a classical plasma the momentum distribution, $n(k)$, decays exponentially, for large $k$, and same is observed an ideal Fermi gas. However, when quantum correlation effects are relevant simultaneously, algebraic decay, $n_\infty(k)\sim k^{-8}$ has been predicted. This of relevance cross sections threshold processes in dense plasmas that depend on number energetic particles. Here we present extensive \textit{ab initio} results distribution nonideal uniform electron gas at warm matter conditions. Our based first principle fermionic path integral Monte Carlo (CPIMC) simulations clearly confirm $k^{-8}$ asymptotic. asymptotic behavior directly linked to short-range correlations which analyzed via on-top pair function (on-top PDF), i.e. PDF electrons with opposite spin. We density temperature dependence entire range.