Question

Kinematics of particle scattering: A pion beam is incident on a stationary target of protons consisting of hydrogen gas. (i) Calculate the threshold energy for incoming pions to enable particle creation in the experiment according to the following reaction pathway: π + p → K + Σ . (1) You may assume masses as m(π0) = 135 MeV/c^2, m(p) = 938 MeV/c^2, m(K0) = 498 MeV/c^2, and m(Σ) = 1189 MeV/c^2. If incident pions have precisely the threshold energy, what is the velocity with which the created Σ+ particles will be observed in the laboratory frame? If instead the incident pions have an energy of 5 GeV, what is the magnitude of the momentum for the Σ+ and K0 particles in the center of mass frame?

          Kinematics of particle scattering:
A pion beam is incident on a stationary target of protons consisting of hydrogen gas.

(i) Calculate the threshold energy for incoming pions to enable particle creation in the experiment according to the following reaction pathway:
π + p → K + Σ . (1)

You may assume masses as m(π0) = 135 MeV/c^2, m(p) = 938 MeV/c^2, m(K0) = 498 MeV/c^2, and m(Σ) = 1189 MeV/c^2.

If incident pions have precisely the threshold energy, what is the velocity with which the created Σ+ particles will be observed in the laboratory frame?

If instead the incident pions have an energy of 5 GeV, what is the magnitude of the momentum for the Σ+ and K0 particles in the center of mass frame?

Added by Ruben R.

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