Neutrons can become cubes at (astronomically) high pressure

Cubic-n

Inside atomic nuclei, protons and neutrons fill space with a packing density of 0.74, meaning that only 26 percent of the volume of the nucleus in is empty.

That’s pretty efficient packing. Neutrons achieve a similar density inside neutron stars, where the force holding neutrons together is the only thing that prevents gravity from crushing the star into a black hole.
Today, Felipe Llanes-Estrada at the Technical University of Munich in Germany and Gaspar Moreno Navarro at Complutense University in Madrid, Spain, say neutrons can do even better.

A new paper is out that claims under exceptionally high pressure, neutrons can switch form spherical symmetry to cubic symmetry. If true, this will have a major effect on our understanding of neutron stars massive enough to reach the necessary internal pressure.

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