(b) Consider a projectile particle A collide with a target particle A in Lab frame. As a result of interaction, the produced final state particles are: A + A → A+ A + A + Ā, where A is antiparticle of A. Using four-vector formulation, calculate the minimum energy required for the production of final particles and show that the minimum energy in Lab frame is always greater than or equal to the minimum energy in the CM frame.

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(b) Consider a projectile particle A collide with a target particle A in Lab frame. As a result of
interaction, the produced final state particles are: A + A → A + A + A+ A, where A is antiparticle
of A. Using four-vector formulation, calculate the minimum energy required for the production of
final particles and show that the minimum energy in Lab frame is always greater than or equal to
the minimum energy in the CM frame.
Transcribed Image Text:(b) Consider a projectile particle A collide with a target particle A in Lab frame. As a result of interaction, the produced final state particles are: A + A → A + A + A+ A, where A is antiparticle of A. Using four-vector formulation, calculate the minimum energy required for the production of final particles and show that the minimum energy in Lab frame is always greater than or equal to the minimum energy in the CM frame.
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