V. A. Dommes, E. M. Kantor, M. E. Gusakov

We calculate the spectrum of inertial oscillation modes in slowly rotating superfluid neutron stars, including for the first time both effects of entrainment and finite temperatures. We assume npe core composition and constant critical temperatures. We also developed an approximate method that allows to calculate the superfluid r-mode analytically. In addition, we derive and analyse a dispersion relation for inertial modes in superfluid NS matter in a short wavelength limit.

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