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Neutron star interiors and supernova explosion mechanisms

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What is the exact state of matter inside a neutron star (its equation of state), and what physical mechanism actually revives a massive star's collapsing core into a supernova explosion?

Posed by Ginzburg (1999 list)
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Partly settled. Some of it is understood, some is still argued about.

Since Ginzburg's problem #24, multi-messenger observations have transformed the field: NASA's NICER mission (from 2019) measured neutron-star masses and radii simultaneously, constraining the equation of state, and the neutron-star merger GW170817 (2017), seen in both gravitational waves and light, further constrained neutron-star matter and confirmed such mergers as a site of heavy-element (r-process) nucleosynthesis. Magnetars have become a well-studied class of neutron star. Nonetheless, the precise equation of state of ultradense matter (hyperons, deconfined quark matter, etc.) and the detailed mechanism that revives a stalled supernova shock remain open theoretical problems.

A neutron star packs more mass than the sun into a sphere the size of a city, and we still do not know exactly what that squeezed matter is made of.

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