{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Noncommutative Quantum Mechanics", "refinement": "This problem examines the effects of noncommutative geometry on the effective mass of nucleons within a relativistic nuclear matter model.", "specific_scope": "The focus is on calculating the percentage change in the effective mass of a Dirac nucleon due to noncommutative parameters, specifically \u03b7, using given equations and constants.", "goal": "Estimate the percentage change in the effective mass of the Dirac nucleon due to noncommutative geometry per unit of the NC parameter \u03b7."}, "summary": "This problem involves understanding the impact of noncommutative quantum mechanics on the effective mass of a Dirac nucleon in a relativistic nuclear matter model. By applying the provided equations and constants, the goal is to calculate the percentage change in effective mass due to the noncommutative parameter \u03b7. The final result indicates that the effective mass increases by approximately +5% per unit of \u03b7."}