Chapter2_10

Chapter2_10 - separate the AB particle into its two...

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PHY3063 R. D. Field Department of Physics Chapter2_10.doc University of Florida Converting Energy to Mass Inelastic proton-proton Collisions: Sometimes when a proton with high kinetic-energy collides with a proton at rest the outgoing system consists of two protons and a π 0 meson: 0 π + + + p p p p For this process () 2 2 2 2 2 min 2 min ) 2 ( c m c m c m E s p final i cm + = = = and () GeV c m c m s E E p p lab threshold 23 . 1 2 ) ( 2 2 2 2 min min 1 = = Binding Energy: Let E B be the binding energy of the AB particle. E B is the minimum amount of energy that must be supplied in order to
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Unformatted text preview: separate the AB particle into its two constitutes, A and B. Energy conservation tells us that 2 2 2 c m c m E c M B A B AB + = + . Hence, 2 c E m m M B B A AB − + = which implies that M AB < m A + m B (since E B > 0). At rest + E B + All particles at rest AB A B Hydrogen Atom E B = 13.6 eV M H = M p + m e – 0.000000015 AMU Carbon-12 Nucleus E B /c 2 = 6M p + 6M n – M C = (12.095646-12) AMU E B = 89.09 MeV!...
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