Question

In a collision of two particles A + B ? C + D is convenient to introduce the Mandelstam variables given as: s = (P_A + P_B)", t = (P_A - P_C)", u = (P_A - P_D)" Where P_A, P_B, P_C, P_D are the 4-momentum of the particles involved and we let c=1 a) Show that s + t + u = ? m_j" (from j=A to D) 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.

          In a collision of two particles A + B ? C + D is convenient to introduce the Mandelstam variables given as:
s = (P_A + P_B)", t = (P_A - P_C)", u = (P_A - P_D)"
Where P_A, P_B, P_C, P_D are the 4-momentum of the particles involved and we let c=1
a) Show that s + t + u = ? m_j" (from j=A to D)
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.

In a collision of two particles A + B ? C + D is convenient to introduce the Mandelstam variables given as:
s = (PA + PB)", t = (PA - PC)", u = (PA - PD)"
Where PA, PB, PC, PD are the 4-momentum of the particles involved and we let c=1
a) Show that s + t + u = ? mj" (from j=A to D)
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.

Added by Mark M.

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