Problem 2 Positronium is a system consisting of an electron and a positron (equal masses, oppositecharges) bound together by the Coulomb force.a) Calculate the value of positronium binding energy Eb (i.e. the opposite of the energy of theground state). Hint: use the result for the hydrogen atom with the appropriate reduced massof the system.b) One of the decay channels of positronium is the annihilation into two photons: e+ +e 2.Compute the energy and wavelength of each of the two photons in the center-of-mass referenceframe of positronium. Hint: You can neglect the binding energy which is much smaller thanthe rest energy of the electron and the positron.c) The decay photons are revealed by means of the Compton effect on electrons. Calculate themaximum energy that each one of the two emitted photons photon can give to an electronwhich is initially at rest.d) Compute the momentum of such electron.