632 Particle Physics and Cosmology*P46.28(a)Let Eminbe the minimum total energy of the bombarding particle that is needed to inducethe reaction. At this energy the product particles all move with the same velocity. Theproduct particles are then equivalent to a single particle having mass equal to the total massof the product particles, moving with the same velocity as each product particle. Byconservation of energy:Emcmcpcmin+=+2232232ejbg.(1)By conservation of momentum:pp31=∴==−pcEmc32122122bgbgmin.(2)Substitute (2) in (1):cmcEmcminmin+−223222122.Square both sides:EE mcEEmmmcmKEmcmmm mmcmmmmminminminminminmin22222232221223212222212321222122232222222++=+−∴=−−
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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 .