Let’s model a nucleus as a particle trapped in the one-dimensional box. Assume the particle is a proton and it is in a one-dimensional nucleus of length of 7.11 fm (the approximate diameter of a Pb-208 nucleus).
(a) Using the results of Exercise 16, determine the energies of the proton in the ground state and first two excited states.
(b) The nucleus is to absorb a photon of just the right energy to enable the proton to make an upward transition from the ground state to the second excited state. How much energy would this be and what type of photon would it be classified as? (Neglect recoil of the absorbing nucleus after the photon energy is absorbed.)