Why are there no nuclei formed only of neutrons ?

In the atomic nucleus there are neutrons and protons. The strong (short range) interaction links (unites) all these nucleons (neutrons as well as protons). In addition, the Coulomb interaction (repulsion) by acting on the protons tends to disrupt the nucleus if the number of protons is too large. Coulomb interaction therefore has a destabilizing role in the nucleus. Simple matter of common sense : In this case, why are there no nuclei formed only of neutrons ? The binding energy would apparently be greater in this case. What is the need for the nucleus to "incorporate" protons. In other words which principle, which law, "forces" the nucleus to be formed of neutrons and protons.

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