  Calculations are performed of the cooling of neutron stars with standard and
enhanced neutrino energy losses in the presence of neutron and proton
superfluidities in the stellar cores. The effects of superfluidity on the heat
capacity and the neutrino luminosity produced by the direct and modified Urca
processes and by the neutrino bremsstrahlung emission in nucleon-nucleon
collisions are taken into account. The constraints are analyzed on the critical
temperatures $\tn$ and $\tp$ of the transition of neutrons and protons to the
superfluid state, which can be obtained from a comparison of observational data
on thermal radiation from neutron stars with theoretical cooling curves for the
standard and enhanced neutrino energy losses. Possible ranges of $\tn$ and
$\tp$ for the pulsar Geminga are discussed.

Astrophysics