Neutrinos are emitted from neutron stars, allowing observation through detectors.Neutrino emission from neutron stars is a key process that cools these extremely dense remnants of supernova explosions. Neutrinos are nearly massless, weakly interacting particles that are produced in vast numbers during the star's formation and continue to be emitted from its interior for thousands of years. Because they interact so rarely with matter, neutrinos can escape directly from the core, carrying away energy and providing a unique window into the otherwise hidden interior of a neutron star. Detecting these neutrinos is challenging but offers invaluable information about the star's composition, temperature, and the physics of matter at nuclear densities.
The theoretical prediction of neutrino emission from neutron stars dates back to the 1930s-40s, following the discovery of the neutron and the development of the neutrino concept by Wolfgang Pauli in 1930. The first detection of neutrinos from a supernova (SN 1987A) in 1987 confirmed the basic picture and marked the beginning of neutrino astronomy.
Inside a neutron star, neutrinos are produced through various processes, such as the Urca process (involving beta decay and electron capture) and neutron-neutron bremsstrahlung. These neutrinos stream out of the star without scattering, cooling it over time. On Earth, detectors like Super-Kamiokande in Japan or IceCube in Antarctica can catch a small fraction of these neutrinos. For a supernova event, a burst of neutrinos arrives before the optical light, allowing astronomers to detect the explosion early and study the neutron star's birth.
Neutrino detectors are used to monitor the sky for supernova events and to study the properties of neutron stars, complementing observations in electromagnetic radiation and gravitational waves.
The neutrinos detected from supernova SN 1987A arrived about three hours before the light from the explosion, because neutrinos escape the star's core immediately while the shock wave takes time to reach the surface.
| L | variable | Net lepton number density — lepton number density metre per cubed metre |
| p | variable | Momentum vector — momentum kilogram metre per second |
| f_ν | variable | Neutrino distribution function — distribution function |
| f_ν̄ | variable | Antineutrino distribution function — distribution function |
| ∫ | operator | Integration over momentum space — integral |
| d^3p | operator | Infinitesimal momentum space volume — volume element in momentum space |
| N | variable | number of detected neutrino events — count |
| L | variable | neutrino luminosity of the source — luminosity watt |
| d | variable | distance from source to detector — distance metre |
| A | variable | effective area of the detector — area square metre |
| t | variable | exposure time — time second |
| ⟨E_ν⟩ | variable | mean neutrino energy — energy joule |










