In a collision of two particles A+B → C+D is convenient to introduce the Mandelstam variables given as: s = (PA + Pg)²,

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In A Collision Of Two Particles A B C D Is Convenient To Introduce The Mandelstam Variables Given As S Pa Pg 1 (21.81 KiB) Viewed 12 times

In a collision of two particles A+B → C+D is convenient to introduce the Mandelstam variables given as: s = (PA + Pg)², t= (PA-Pc)², u = (PA-PD)² Where PA, PB. Pc. Pp are the 4-momentum of the particles involved and we let c-1 -D a) Show that s+t+u = m² b) Find the energy of A in the center of mass reference frame in terms of s, t, u, and the masses of the particles. c) Find the energy of A in the laboratory system associated with B. d) Find the total energy of the center of mass reference frame.