{"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 calculation requires using the properties of the meson resonance, specifically its mass and decay width, to determine how far it 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. To find the mean decay distance of the meson resonance X, we need to use its mass, decay width, and energy. The mean decay distance can be calculated using the formula related to the lifetime of the particle, which is inversely proportional to its decay width. The goal is to determine how far the meson travels on average before it decays, using the provided values."}