Effects of short-range correlations on neutron star cooling

Cooling curves of a neutron star are investigated within the minimal cooling scenario based on the Akmal- Pandharipande-Ravenhall (APR) equation of state. The Fermi surface depletion ($Z$ factor) of $\beta$-stable nuclear matter is calculated by employing a Brueckner-Hartree-Fock approach with the AV18 two-body force supplemented by a microscopic three-body force. The $Z$ factor of $\beta$-stable nuclear matter is computed to study its effects on three physical properties (superfluidity, neutrino emissivity, and heat capacity) which determine the neutron star thermal evolution. The calculated cooling curves reproduce well the mostly observed data when the $Z$ factor was taken into account in the gap energies, neutrino emissivity, and heat capacity.