For a particular optical transition in atomic lead

PHYSICS · Subjective · Fermi University Physics · Nuclear Physics · Nuclear constituents, size and binding · Nuclear constituents, size and binding

The Nucleus Resolved, Ch How big a nucleus is, and what the mass surface knows

Problem

For a particular optical transition in atomic lead, the isotope shift of

^{208}\mathrm{Pb}

relative to

^{206}\mathrm{Pb}

is measured, and after the mass shift has been subtracted the field shift is

\delta\nu = 2.42\,\mathrm{GHz}

. For this transition the electronic factor relating frequency shift to nuclear size change is

F = 20.0\,\mathrm{GHz\,fm^{-2}}

, defined by

\delta\nu = F\,\delta\langle r^2\rangle

. Find the change in mean square charge radius

\delta\langle r^2\rangle = \langle r^2\rangle_{208} - \langle r^2\rangle_{206}