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According to the Pauli Exclusion Principle, two identical FERMIONS cannot coexist in the same energy level within a nucleus.

My question is, could two identical fermions coexist if they had opposite isospin, that is, does isospin make the two otherwise identicle fermions "not-identicle" such that the Pauli EP does not apply? Thanks in advance for any help, I would appreciate mathematical details in any answer.

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# Pauli Exclusion Principle-question

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