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ground state of the homogeneous electron gas (jellium), it is shown how the
cumulant decomposition of the 2-matrix leads to the cumulant decomposition of
the structure factors Sa,p(q) for the antiparallel (a) and parallel
(p) spin pairs and how it simultaneously allows one to derive the momentum
distribution n(k), which is a one-body quantity [Phys. Rev. A 86, 012508 (2012)].
The small-q and large-q behavior of Sa,p(q), and
their normalizations are derived and compared with the results of P.
Gori-Giorgi et al. [Physica A 280,
199 (2000) and Phys. Rev. B 61, 7353 (2000)].