Estimate the collection to the ground state energy of hydrogen due to the finite size of t...

Estimate the collection to the ground state energy of hydrogen due to the finite size of the nucleus. Treat the proton as a uniformly charged spherical shell of radius b, so the potential energy of an electron inside the shell is constant: —e2/(4neob)-, this isn't very realistic, but it is the simplest model, and it will give us the right order of magnitude. Expand your result in powers of the small parameter (b/a), where a is the Bohr radius, and keep only the leading term, so your final answer takes the form

Your business is to determine the constant A and the power n. Finally, put in b ~ 10"15 m (roughly the radius of the proton) and work out the actual number. How does it compare with fine structure and hyperfine structure?