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/c². 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/c² and m_π⁺ = 139.6 MeV/c². 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

It is solution for question B. For A and C please upload them separetely so you will get answer with proper explanation. Thank You:)