How come there are no neutron atoms?

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TheNerf
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Straight forward question. What would prevent the process of a giant lump of neutrons from forming a stable nucleus?
 
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The strong nuclear force
Because neutrons have the same spin they cannot occupy the same energy level, so a nucleus of just neutrons can't get into the lowest energy state and so isn't stable,

Neutron stars could be thought of as a single nucleus of just neutrons - but they need gravity (and a lot of it) to hold them together
 
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There has been some talk about an element 0 - a nucleus with only neutrons. Wiki has some things to say on this neutronium element.
 
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