A spin-imbalanced Fermi gas with an attractive contact interaction forms a
superconducting state whose underlying components are superpositions of Cooper
pairs that share minority-spin fermions. This superconducting state includes
correlations between all available fermions, making it energetically favorable
to the Fulde--Ferrell--Larkin--Ovchinnikov superconducting state. The ratio of
the number of up- and down-spin fermions in the instability is set by the ratio
of the up- and down-spin density of states in momentum at the Fermi surfaces,
to fully utilize the accessible fermions. We present analytical and
complementary Diffusion Monte Carlo results for the state