A pion (mass 0.140GeV/c2 ) at rest decays by the weak... | Filo
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SOLVED:A neutral pion at rest decays into two photons. Find the energy, frequency, and wavelength of each photon. In which part of the electromagnetic spectrum does each photon lie? (Use the pion mass given in terms of the electron mass in Section 44.1.)
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SOLVED:Deduce an expression for the energy of a γ-ray from the decay of the neutral pion, π^0 →2 γ, in terms of the mass m, energy E and velocity βc of the pion and the angle of emission θin the pion rest frame. Show that if the pion has spin zero, so that the angular distribution is isotropic, the laboratory energy spectrum of the γ-rays will be flat, extending from E(1 β) / 2 to E(1-β) / 2. Find an expression for the disparity D (the ratio of energies) of the γ-rays and show that D>3 in half t
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The negative pion (π^-) is an unstable particle with an average lifetime of 2.60 ×10^-8s (measured in the rest frame of the pion). (a) If the pion is made to travel at very high speed relative to a laboratory, its average lifetime is measured in the laboratory to be 4.20 ×10^-7 s. Calculate the speed of the pion expressed as a fraction of c. (b) What distance, measured in the laboratory, does the pion travel during its average lifetime? | Numerade
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