  We evaluate the frequencies of scissors modes for density and concentration
fluctuations in a vapour of fermionic atoms placed in two hyperfine levels
inside a spherical harmonic trap. Both the superfluid and the normal state are
considered, with inclusion of the interactions at the random-phase level. Two
main results are obtained: (i) the transition to the superfluid state is
signalled by the disappearance of soft transverse modes of the normal fluid in
the collisionless regime and (ii) the eigenfrequency of the density
fluctuations in the superfluid coincides with that of the normal fluid in the
collisional regime. The latter property is related to the opening of the gap in
the single-pair spectrum.
