Question

(1) (A) In models of interacting nucleons, the pion is the
virtual carrier particle that mediates the interaction. Assume that
in one such nuclear interaction, the mass of the virtual pion is
120 MeV/*c*^{2}. Determine the lifetime (in s) and
range (in m) of this virtual pion acting. Assume the virtual pion
moves at nearly the speed of light.

(B)When an electron and positron collide at the SLAC facility, they each have 55.9 GeV kinetic energies. What is the total collision energy available, taking into account the annihilation energy? Note that the annihilation energy is insignificant, because the electrons are highly relativistic.

(C)In a bubble chamber experiment, the decay of a Σ^{+}
particle into a *π*^{+} particle and a neutron is
observed when a 1.63 T magnetic field is applied perpendicular to
the paths of the particles. The Σ^{+} and
*π*^{+} particles leave curved tracks of radii 1.81
m and 0.688 m respectively. The rest masses are
*m*_{Σ+} = 1189.4
MeV/*c*^{2} and
*m*_{π+} = 139.6
MeV/*c*^{2}. If at the moment of decay, the
angle between the momentum of the Σ^{+} and
*π*^{+} particles is 66.6°, what is the magnitude of
the momentum of the neutron? (Express your answer in units of
MeV/*c*.)

Answer #1

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