  Superfluid states of symmetric nuclear matter with finite total momentum of
Cooper pairs (nuclear LOFF phase) are studied with the use of Fermi-liquid
theory in the model with Skyrme effective forces. It is considered the case of
four-fold splitting of the excitation spectrum due to finite superfluid
momentum and coupling of T=0 and T=1 pairing channels. It has been shown that
at zero temperature the energy gap in triplet-singlet (TS) pairing channel (in
spin and isospin spaces) for the SkM$^*$ force demonstrates double-valued
behavior as a function of superfluid momentum. As a consequence, the phase
transition at the critical superfluid momentum from the LOFF phase to the
normal state will be of a first order. Behavior of the energy gap as a function
of density for TS pairing channel under increase of superfluid momentum changes
from one-valued to universal two-valued. It is shown that two-gap solutions,
describing superposition of states with singlet-triplet (ST) and TS pairing of
nucleons appear as a result of branching from one-gap ST solution. Comparison
of the free energies shows that the state with TS pairing of nucleons is
thermodynamically most preferable.
