{"knowledge_schema": {"broad_category": "Physics \u2192 Particle Physics \u2192 Resonance Decay", "refinement": "This problem involves calculating the mean decay distance of a meson resonance based on its energy, mass, and decay width.", "specific_scope": "The focus is on using the properties of the meson resonance (energy, mass, and width) to determine how far, on average, the meson travels before decaying.", "goal": "Calculate the mean decay distance using the given parameters of the meson resonance."}, "summary": "This problem is rooted in particle physics, specifically in understanding the behavior of meson resonances. It requires calculating the mean decay distance of a meson using its energy, mass, and decay width. The mean decay distance can be derived from the lifetime of the particle, which is inversely related to its decay width. The goal is to find the average distance the meson travels before it decays, leading to the answer of approximately 4.0655 * 10^-15 m."}