{"knowledge_schema": {"broad_category": "Physics \u2192 Particle Physics \u2192 Decay Processes", "refinement": "This problem involves understanding the decay of particles and the implications of their proper lifetime on spatial resolution in experimental setups.", "specific_scope": "The focus is on calculating the minimum spatial resolution required in a bubble chamber experiment to detect decay products of a neutral particle based on its lifetime.", "goal": "Determine the minimum spatial resolution necessary to observe the decay products of the neutral particle X^0 within the constraints of its proper lifetime."}, "summary": "This problem pertains to particle physics, specifically the decay of a neutral particle and the spatial resolution needed in an experimental setup to detect its decay products. Given the proper lifetime of the particle, the task is to calculate the minimum spatial resolution required to ensure that at least 30 decay events can be detected. The solution involves applying principles of relativistic motion and decay time to determine the necessary spatial resolution, which is found to be 2.08 \u00d7 10^-6 m."}