2. The effect of the finite size of the nucleus is to raise the energies of...

  

 

 

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2. The effect of the finite size of the nucleus is to raise the energies of the electronic states from the theoretical values based on a point nucleus. Show from first-order perturbation theory that, if the proton is regarded (for simplicity) as a thin uniform spherical shell of charge of radius b, the fractional change in the energy of the ground state of the hydrogen atom is 462/3a. How does this compare in size to the fine or hyperfine splitting? 2. The effect of the finite size of the nucleus is to raise the energies of the electronic states from the theoretical values based on a point nucleus. Show from first-order perturbation theory that, if the proton is regarded (for simplicity) as a thin uniform spherical shell of charge of radius b, the fractional change in the energy of the ground state of the hydrogen atom is 462/3a. How does this compare in size to the fine or hyperfine splitting?