A pion decays into a muon and a neutrino Lets model this decayas A B...

A pion decays into a muon and a neutrino. Letâ€™s model this decay as A â†’...

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A pion decays into a muon and a neutrino. Letâ€™s model this decayas A â†’ 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 Olgaâ€™s frame of reference?
b) How does it compare to Bâ€™s energy in the rest frame of A?

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3.8 Ratings (452 Votes)

Mass of A MIn the rest frame of A Centre of momentum Framemass of BMB0energy ofBKEB14MeVC2mass of CMC unknownenergy of CKECunknownIn Olgas Frame Laboratory Frame of refrencemass of AM100 MeVC2Energy of AKEA1500 MeVC2From relativistic KE equationwith above See Answer

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