A pion decays into a muon and a neutrino. Let’s model this decayas A → B+C, where A has a mass of M, B is a massless particle ofenergy 1/4 Mc^2 in the rest frame of A, and C is a massive particleof unknown mass and energy. Physicist Olga observes particle Amoving in the positive x direction, and measures A to have a massof M=100 MeV/c^2, and an Energy of 1500 MeV before decay.
a) If particle B is traveling in the same direction thatparticle A was traveling before the decay, what is the energy of Bin Olga’s frame of reference?
b) How does it compare to B’s energy in the rest frame of A?
