A positron is an antimatter particle identical in mass to an electron but with a positive charge, electron-positron pairs can be produced when a gamma ray of sufficient energy passes near a heavy nucleus. The electron-positron pair can form an atom called positronium which is hydrogen-like. The only difference is it has a positron instead of a proton as the nucleus. Use the Bohr Model for Hydrogen-like atoms to answer the following:
Calculate the energies of the three lowest states of positronium.
What are the wavelengths of the Lyman alpha and beta lines? (These lines are a signature of positronium formation.)