Equation (9-42) gives the Fermi energy for a collection of identical fermions packed into the lowest energies allowed by the exclusion principle. Argue that if applied to neutrons or protons (ignoring their repulsion) in a nucleus, the equation suggests that the Fermi energy is roughly the same for all nuclei. Making the rough approximation that the spacing between quantum levels is a constant in a given nucleus, argue that this spacing should vary from one nucleus to another in proportion to A-1.
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