{"knowledge_schema": {"broad_category": "Physics \u2192 Particle Physics \u2192 Decay Processes", "refinement": "This problem involves understanding the decay of particles and the spatial resolution required to observe the decay products within a certain time frame.", "specific_scope": "The focus is on calculating the minimum spatial resolution needed to observe the decay of a particle (X^0) into its decay products (Y^+ and Z^-) given its proper lifetime.", "goal": "Determine the minimum spatial resolution necessary to observe at least 30 decay events of the particle X^0 within its lifetime."}, "summary": "This problem relates to particle physics, specifically the decay of particles and the spatial resolution required for observation in a bubble chamber. Given the proper lifetime of the particle X^0, the task is to calculate the minimum resolution needed to observe at least 30 decay events. This involves understanding the relationship between time, speed, and distance to determine how far the decay products can travel in the given lifetime, which will inform the required resolution."}