ch44-p002 - m is the mass of a neutral pion. The rest...

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2. Conservation of momentum requires that the gamma ray particles move in opposite directions with momenta of the same magnitude. Since the magnitude p of the momentum of a gamma ray particle is related to its energy by p = E / c , the particles have the same energy E . Conservation of energy yields m π c 2 = 2 E , where
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Unformatted text preview: m is the mass of a neutral pion. The rest energy of a neutral pion is m c 2 = 135.0 MeV, according to Table 44-4. Hence, E = (135.0 MeV)/2 = 67.5 MeV. We use 1240 eV nm hc = to obtain the wavelength of the gamma rays: 5 6 1240 eV nm 1.84 10 nm 18.4 fm. 67.5 10 eV = = =...
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