The collision of a neutron star and an anti-neutron star could result in complete annihilation, formation of a black hole, or partial annihilation, with energy from the event potentially pushing remaining matter away. Annihilation is complex, involving the generation of various particles like pions, neutrinos, and photons, rather than just converting to pure energy. The energetic environment would likely create a range of new particles, with a significant amount of stellar material ejected into space. The outcomes would differ based on the nature of the collision, such as a direct hit versus a grazing impact. Current modeling is limited due to uncertainties in the equations of state for neutron stars and the improbability of anti-neutron stars existing in the universe.