Problem

Calculate the threshold (minimum) momentum the pion must have in order for the process π...

Calculate the threshold (minimum) momentum the pion must have in order for the process π + p K + ∑ to occur. The proton p is initially at rest. Use mπ c2 = 150, mK c2 = 500, mpc2 = 900, m c2= 1200 (all in MeV). [Hint: To formulate the threshold condition, examine the collision in the center-ofmomentum frame (Prob. 12.31).

Reference equation 12.31

Suppose you have a collection of particles, all moving in the x direction, with energies E1, E2, E3, . . . and momenta p1, p2, p3, . . . . Find the velocity of the center of momentum frame, in which the total momentum is zero.

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