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WarnK

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Lab system: [tex] p_a = (E^{lab}_a, \vec{p}_a) [/tex] and [tex] p_b = (m_b, \vec{0}) [/tex]

CM system: [tex] p_a = (E^{CM}_a, \vec{p}) [/tex] and [tex] p_b = (E^{CM}_b, -\vec{p}) [/tex]

For a binary reaction a+b->c+d, the textbooks I have say quite a lot about the kinematics of such reactions (Mandelstam variables and all that) but how do I go about doing a Lorentz transformation between the lab and CM system? That must be possible to do.