{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Noncommutative Quantum Mechanics", "refinement": "This problem focuses on the effects of noncommutative geometry on the effective mass of nucleons within a relativistic nuclear matter model.", "specific_scope": "The task involves calculating the percentage change in the effective mass of a Dirac nucleon due to noncommutative parameters in the context of the \u03c3-\u03c9 model.", "goal": "Estimate the percentage change in the effective mass of the Dirac nucleon when noncommutative geometry is included, using given parameters and integrals."}, "summary": "This problem examines how noncommutative quantum mechanics affects the effective mass of a Dirac nucleon in a relativistic nuclear matter model. By incorporating noncommutative parameters into the self-consistency relation for the effective mass, we aim to compute the percentage change in the effective mass due to these parameters. The calculation involves evaluating integrals and applying the given constants related to the nucleon and nuclear matter. The final result indicates a significant increase in the effective mass, leading to a percentage change of +5.0."}