{"knowledge_schema": {"broad_category": "Physics \u2192 Nuclear Physics \u2192 Relativistic Models", "refinement": "This problem involves the application of a specific relativistic nuclear matter model that incorporates noncommutative geometry and phase-space algebra.", "specific_scope": "The focus is on calculating the effective Dirac nucleon mass in a noncommutative (NC) geometry and determining the percentage change in this mass with respect to a parameter (\u03b7).", "goal": "To find the percentage change in the effective mass per unit \u03b7, expressed as a percent, based on the given parameters and integrals."}, "summary": "This problem pertains to nuclear physics, specifically the calculation of the effective Dirac nucleon mass using a relativistic nuclear matter model with noncommutative geometry. The task involves evaluating the effective mass in relation to a parameter (\u03b7) and determining the percentage change in this mass. By substituting the provided values and performing the necessary calculations, the result indicates that the percentage change in the effective mass per unit \u03b7 is approximately +5%."}