{"knowledge_schema": {"broad_category": "Quantum Mechanics \u2192 Nuclear Physics \u2192 Nucleon Interactions", "refinement": "This problem involves the conservation laws of angular momentum and parity in the context of nucleon-nucleon interactions and particle emission.", "specific_scope": "The focus is on determining which final state of nucleons after emitting a particle X violates the Pauli exclusion principle based on isospin, spin, and angular momentum conservation.", "goal": "Identify the final NN state that is not permitted based on the given constraints."}, "summary": "In this problem, we analyze the emission of a particle X with intrinsic parity -1 from a bound system of two nucleons in a 1S0 state. We need to apply conservation laws of angular momentum and parity, as well as the Pauli exclusion principle, to determine which of the proposed final states is not allowed. The final NN state must satisfy the condition T(NN) = S(NN) + L(NN) + 1 (mod 2) and must also conserve total angular momentum and parity. By evaluating each candidate, we can identify the one that does not meet these criteria."}