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3.14 Particle A (energy E) hits particle B (at rest), producing particles C_1, C_2, ... A + B --> C_1 + C_2 + ... + C_n. Calculate the threshold (i.e., minimum E) for this reaction, in terms of the various particle masses.© BrainMass Inc. brainmass.com September 25, 2018, 7:29 pm ad1c9bdddf - https://brainmass.com/physics/gamma/elementary-particles-neutrino-masses-neutrino-muon-51265
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Let us take units in which the speed of light $c = 1$, and put c back in the final answer, in such cases where it is there, to make it easier to write formulae.
bf 3.13 rm
Let the incoming pion velocity direction be along X-axis, and neutrino direction be along Y-axis, then the 4-momenta of the pion and neutrino
p_pi = m_pigamma(1, beta, 0, 0),
p_nu = ...
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