Non-radial superfluid modes in oscillating neutron stars

For the first time, non-radial oscillations of superfluid non-rotating stars are self-consistently studied at finite stellar temperatures. We apply a realistic equation of state and realistic density-dependent model of critical temperature of neutron and proton superfluidity. In particular, we discuss three-layer configurations of a star with no neutron superfluidity at the centre and in the outer region of the core but with a superfluid intermediate region. We show that oscillation spectra contain a set of modes whose frequencies can be very sensitive to temperature variations. Fast temporal evolution of the pulsation spectrum in the course of neutron star cooling is also analysed.