The stuff made in this experiment, on the other hand, has more to do with what you find in something like a neutron star—clumps of neutrons (which are regular, non-dark matter) packed closely together—albeit in an extremely small scale compared to the star.
Don't equate the bound states with the unbound states.
They do decay into protons and electrons, and then are immediately squished back into neutrons by the immense pressure. (There is a missing neutrino to wonder about though.)
Another way to think about it:
They are unable to decay into protons plus electrons because there isn't enough "room" for the two particles to exist in the space formerly taken up by one particle. See: Electron degeneracy pressure.
Basically all particles decay, unless there is something stopping them - for example there is nothing lighter for them to decay into.
You could ask why don't the neutrons in nucleus's decay into protons? It's because it's not energetically favorable for them to do so.
That's basically all decay is: Is it energetically favorable to be something else. The more energy is involved the "faster" it decays (sort of, it's more like the more energy relative to the barrier).
Just being pedantic here but in a neutron star, it's neutron degeneracy pressure that's at play. Electron degeneracy pressure keeps a white (and later brown) dwarf from collapsing further, but if there's enough mass it is overcome and the next thing that kicks in is neutron degeneracy pressure, which for whatever reason is a lot stronger, and holds up another solar mass or two before it passes the limit where collapsing into a black hole is inevitable.
The principles for both types of degeneracy are similar (it's the Pauli exclusion principle at work basically) but the particles are different.
(In their core, they could potentially even contain quarks or hyperons, although recent neutron star measurements make this a bit more unlikely)
Or maybe an ELI-only-took-undergrad-physics-101? :)
A proton decays into a neutron by emitting a positron and an electron neutrino. (These are the antiparticles of the ones emitted in neutron to proton beta decay, above.)
They are. Subatomic decay doesn't happen with particles "contained within" other particles; a neutron does not contain a proton but can decay into a proton, electron, and electron antineutrino via the W boson.