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We compute the decay rate width of the strong decay p → n + π + for a linearly accelerated proton in both the inertial frame and in the coaccelerated proton frame. In this last reference system we use the Unruh effect, where the proton sees a bath of thermal particles at the temperature T = a/2π, where a is proton’s acceleration. Analytical results agree, thus giving a simpler example where the Unruh effect is necessary to keep the consistency between inertial and Rindler frame calculations of a physical observable.
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