1291_Physics ProblemsTechnical Physics

1291_Physics ProblemsTechnical Physics - 632 *P46.28...

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632 Particle Physics and Cosmology *P46.28 (a) Let E min be the minimum total energy of the bombarding particle that is needed to induce the reaction. At this energy the product particles all move with the same velocity. The product particles are then equivalent to a single particle having mass equal to the total mass of the product particles, moving with the same velocity as each product particle. By conservation of energy: Em c m c p c min += + 2 2 3 2 2 3 2 ej bg . (1) By conservation of momentum: pp 31 = ∴== pc E mc 3 2 1 2 2 1 2 2 bgbg min . (2) Substitute (2) in (1): c m cE m c min min + 2 2 3 2 2 2 1 2 2 . Square both sides: E E mc E E mmm c m KEm c mmm m m c m mm m min min min min min min 2 2 2 2 2 2 3 2 2 2 1 2 2 3 2 1 2 2 22 2 1 2 3 2 1 2 2 2 12 2 2 3 2 2 2 2 2 2 2 ++ = + ∴= −−
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This note was uploaded on 12/15/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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