The processes and environments leading to the creation of binary neutron star systems.Binary neutron star systems are pairs of neutron stars that orbit a common center of mass. Their formation is a complex process that typically begins with two massive stars in a binary system, which evolve and eventually explode as supernovae, leaving behind neutron stars. The survival of the binary through these explosions is a delicate balance of mass loss, orbital dynamics, and kicks imparted by asymmetric supernova explosions. Understanding this formation pathway is crucial for interpreting gravitational wave signals, such as those from the merger GW170817, and for explaining the production of heavy elements like gold and platinum in the universe.
The first binary neutron star system, PSR B1913+16, was discovered in 1974 by Russell Hulse and Joseph Taylor, who used it to indirectly confirm gravitational waves. The formation theory was developed in the 1980s and 1990s, with key contributions from theorists like V. Kalogera and E. van den Heuvel.
The formation proceeds through several stages. Initially, two massive stars (each >8 solar masses) form in a binary. The more massive star evolves faster, expands, and may transfer mass to its companion, potentially leading to a common envelope phase that shrinks the orbit. The first supernova explosion can disrupt the binary if too much mass is ejected, but if it survives, a neutron star is left. The second star then evolves, and if it also explodes as a supernova, the system may remain bound if the kick velocity and mass loss are not too large. The result is a tight binary of two neutron stars that will eventually merge due to gravitational wave emission over billions of years.
Understanding binary neutron star formation is essential for predicting merger rates for gravitational wave observatories like LIGO and Virgo, and for interpreting the electromagnetic counterparts of such mergers, including kilonovae and gamma-ray bursts.
The merger of two neutron stars in 2017 (GW170817) was observed in both gravitational waves and light, confirming that such events are the primary site of r-process nucleosynthesis, producing elements heavier than iron like gold and platinum.
| \dot{\omega} | variable | rate of periastron advance — angular velocity radian per second |
| M | variable | total mass of the binary system — mass kilogram |
| a | variable | semi-major axis of the orbit — length metre |
| e | variable | orbital eccentricity — eccentricity |
| G | constant | Constant of universal gravitation. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Speed of light in vacuum. — speed of light = 299792458 metre per second |
| E_1 | variable | Energy of first photon — energy joule |
| E_2 | variable | Energy of second photon — energy joule |
| m_e | variable | Electron rest mass — mass kilogram |
| c | variable | Speed of light in vacuum — speed of light metre per second |








