The iron nucleus has 26 protons. The most abundant isotope of iron is Fess with 30 neutrons. The nucleons in many larger nuclei can be reasonably well approximated as individual neutrons or protons confined within a box the size of a nucleus due to the very strong and short-range nuclear force (independent particle model). Solve for the ground state and first 4 excited states for a neutron confined to the Fes" nucleus and draw the energy level diagram for the system. In this model what is the minimum energy required to excite a ground state neutron to the 2"d excited state?