  The presence of dark matter has been ascertained through a wealth of
astrophysical and cosmological phenomena and its nature is a central puzzle in
modern science. Elementary particles stand as the most compelling explanation.
They have been intensively searched for at underground laboratories looking for
an energy recoil signal and at telescopes sifting for excess events in
gamma-ray or cosmic-ray observations. In this work, we investigate a detection
method based on spectroscopy measurements of neutron stars. We outline the
luminosity and age of neutrons stars whose dark matter scattering off neutrons
can heat neutron stars up to a measurable level. We show that in this case
neutron star spectroscopy could constitute the best probe for dark matter
particles over a wide masses and interactions strength.
