{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Nuclear Physics", "refinement": "This problem involves the study of nucleon-nucleon interactions and the application of quantum statistics and conservation laws in particle physics.", "specific_scope": "The focus is on determining the allowed and forbidden partial wave states for a system of two nucleons emitting a particle Y, considering the constraints imposed by Pauli statistics and the intrinsic properties of the particles involved.", "goal": "Identify which of the given partial wave combinations is not permitted based on the isospin, angular momentum, and spin quantum numbers."}, "summary": "In this problem, we analyze a system of two nucleons in a 3P1 state that emit a particle Y with intrinsic parity +1. We apply Pauli statistics to determine the allowed combinations of isospin, angular momentum, and spin for the final NN state. Given that the final NN state has T(NN) = 1, we need to check which of the provided partial wave combinations violates the condition T(NN) = S(NN) + L(NN) + 1 (mod 2). The combination 3P0 + s is not permitted as it does not satisfy the required conditions."}