p45_003 - pion is m c 2 = 135 . 0 MeV. Hence, E = (135 . 0...

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3. 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 m π is the mass of a neutral pion. According to Table 45-4, the rest energy of a neutral
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Unformatted text preview: pion is m c 2 = 135 . 0 MeV. Hence, E = (135 . 0 MeV) / 2 = 67 . 5 MeV. We use the result of Exercise 3 of Chapter 39 to obtain the wavelength of the gamma rays: = 1240 eV nm 67 . 5 10 6 eV = 1 . 84 10 5 nm = 18 . 4 fm ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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