  We discuss the nuclear interactions of neutrinos versus those of
antineutrinos, a relevant comparison for CP violation experiments in the
neutrino sector. We consider the MiniBooNE quasielastic-like double
differential neutrinos and antineutrinos cross sections which are flux
dependent and hence specific to the MiniBooNE set-up. We combine them
introducing their sum and their difference. We show that the last combination
can bring a general information, which can be exploited in other experiments,
on the nuclear matrix elements of the axial vector interference term. Our
theoretical model reproduces well the two cross sections combinations. This
confirms the need for a sizeable multinucleon component in particular in the
interference term.
