
The maximum mass a neutron star can have before collapsing into a black hole.The neutron star mass limit is the maximum mass that a neutron star can have before it collapses into a black hole. This limit arises because the degeneracy pressure of neutrons and the strong nuclear force can only support the star against gravity up to a certain point. The exact value is not precisely known, but it is estimated to be around 2 to 3 solar masses. Observations of the most massive neutron stars, such as PSR J0740+6620 with a mass of about 2.14 solar masses, help constrain the equation of state of nuclear matter and the behavior of matter at extreme densities.
The concept of a maximum mass for neutron stars was first proposed by J. Robert Oppenheimer and George Volkoff in 1939, who calculated a limit of about 0.7 solar masses using a simple model of a cold, non-interacting neutron gas. Later refinements, including the effects of nuclear forces, raised the limit to the currently accepted range. The discovery of the first binary neutron star system in 1974 and subsequent mass measurements have provided empirical constraints.
A neutron star is supported by degeneracy pressure, a quantum mechanical effect that prevents neutrons from occupying the same quantum state. As mass is added, the star's density increases, and the neutrons become more relativistic. Eventually, the pressure becomes insufficient to counteract gravity, and the star collapses. The exact limit depends on the unknown equation of state of dense nuclear matter, which describes the relationship between pressure, density, and temperature in the star's interior. Measurements of neutron star masses, combined with theoretical models, narrow down this equation of state.
Knowing the neutron star mass limit is crucial for interpreting gravitational wave signals from neutron star mergers, such as GW170817, and for understanding the population of black holes formed from neutron star collapse.
The most massive neutron star ever observed, PSR J0740+6620, is so dense that a sugar-cube-sized amount of its material would weigh about 100 million tons on Earth.




















