Yes, unless it goes one step further and becomes a black hole.
The mass of the star.
After a supergiant star, the star can evolve into a supernova, which is a massive explosion that signals the end of the star's life. Depending on the mass of the star, it can then collapse into a neutron star or a black hole.
When a star explodes, that's the end of the star. The stellar remnant - either a neutron star or a black hole is created instantly.
It can become a white dwarf, a neutron star or a black hole, depending on the mass that remains at the end of the star's life.
From approximately 1.5 to 2.0 solar masses snow FAR
The star would end its evolution as a neutron star. This is because during its evolution, the star would go through stages of fusion until it exhausts its fuel and undergoes a supernova explosion, leaving behind a dense core that collapses into a neutron star due to gravitational forces.
No, our sun is not massive enough to become a neutron star. When our sun runs out of fuel, it will shed its outer layers and become a planetary nebula, leaving behind a dense core called a white dwarf.
A neutron star is the remnant of a star, which - at the end of its life, and AFTER possibly losing a lot of mass (for instance, in a supernova explosion) has a remaining mass that is greater than the so-called Chandrasekhar limit.
Think of a black hole like the neutron star's big brother. When a star reaches the end of its life, it blows off its outer layer in a supernova and leaves behind a stellar remnant. The mass of the star, during its life, determines what is left behind by its death. For relatively low mass stars (such as our own star), the remnant is a white dwarf. Get much larger than about 1.4 times our own star's mass and you end up with a neutron star. The exact upper mass limit for neutron star formation isn't known for certain, but the estimate is something between 2 and 3 times our own star's mass. Above that, and the remnant core collapses into a black hole.
That description may refer to any of the end-phases in the lifetime of a star: a white dwarf; a neutron star; or a black hole.
It's possible that two neutron stars could collide; if that happened, the combined mass & gravitational attraction might be enough to collapse the combined object into a black hole. Otherwise, it will be a neutron star until the end of the universe.
A neutron star is the "end of the line" for a giant star that exploded as a supernova. The material in a neutron star is packed so densely that a chunk of it the size of a cigarette package would weigh thousands of tons. It spins rapidly, at a steady rate (they are sometimes called "radio beacon stars").