An elastic electron scattering measurement on gives a charge form factor at a…

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

An elastic electron scattering measurement on

^{16}\mathrm{O}

gives a charge form factor

F(q^2) = 0.891

at a momentum transfer

q = 0.30\,\mathrm{fm^{-1}}

, small enough that only the leading term of the small-

q

expansion

F(q^2) = 1 - q^2\langle r^2\rangle/6

is needed. Find the rms charge radius of

^{16}\mathrm{O}

implied by this point.