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Neutron Stars (NSs) are born as hot, lepton-rich objects that evolveaccording to the standard paradigm through subsequent stages where they radiatethe excess of energy by emitting, first, neutrinos and, later on, photons.Current descriptions based on Standard Model calculations cannot fully explainall the existing cooling data series for the dozens of objects that have beenreported. In this work, we consider the intriguing possibility that cooling NSscould be actually admixed with a fraction of light dark matter (LDM), $\chi$.We focus on a particular case study assuming a generic light candidate withmass $m_\chi=0.1$ $\rm GeV/c^2$ that undergoes self-annihilating reactionsthrough pseudoscalar mediators producing neutrinos in the final state. Weinclude one additional feature, allowing thermal conduction from LDM whileinside the dark core. By performing simulations of the temperature evolution inthe NS, we find that cooling patterns could be distorted by the presence of LDMand discuss these results in light of their observability.

Cooling of Neutron Stars admixed with Light Dark Matter: a case study