  The neutron is a cornerstone in our depiction of the visible universe.
Despite the neutron zero-net electric charge, the asymmetric distribution of
the positively- (up) and negatively-charged (down) quarks, a result of the
complex quark-gluon dynamics, lead to a negative value for its squared charge
radius, $\langle r_{\rm n}^2 \rangle$. The precise measurement of the neutron's
charge radius thus emerges as an essential part of unraveling its structure.
Here we report on a $\langle r_{\rm n}^2 \rangle$ measurement, based on the
extraction of the neutron electric form factor, $G_{\rm E}^{\rm n}$, at low
four-momentum transfer squared $(Q^2)$ by exploiting the long known connection
between the $N \rightarrow \Delta$ quadrupole transitions and the neutron
electric form factor. Our result, $\langle r_{\rm n}^2 \rangle = -0.110
\pm0.008~({\rm fm}^2)$, addresses long standing unresolved discrepancies in the
$\langle r_{\rm n}^2 \rangle$ determination. The dynamics of the strong nuclear
force can be viewed through the precise picture of the neutron's constituent
distributions that result into the non-zero $\langle r_{\rm n}^2 \rangle$
value.
