{"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 the 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 due to the inclusion of noncommutative geometry."}, "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 of the nucleon. The calculation is performed at the saturation point of nuclear matter, where the effective mass is known to be 0.78 times the nucleon mass. The goal is to determine the impact of noncommutative geometry on the effective mass, leading to a specific numerical result."}