  High energy elastic $p p$ scattering at the Large Hadron Collider (LHC) at
c.m. energy 14 TeV is predicted using the asymptotic behavior of
$\sigma_{tot}(s)$ and $\rho(s)$ known from dispersion relation calculations and
the measured elastic $\bar p p$ differential cross section at $\sqrt{s} = 546
{\rm GeV}$. The effective field theory model underlying the phenomenological
analysis describes the nucleon as having an outer cloud of quark-antiquark
condensed ground state, an inner core of topological baryonic charge of radius
$\simeq 0.44F$ and a still smaller valence quark-bag of radius $\lesssim 0.1
{\rm F}$. The LHC experiment TOTEM (Total and Elastic Measurement), if carried
out with sufficient precision from $|t| = 0$ to $|t| > 10 {\rm GeV^2}$, will be
able to test this structure of the nucleon.
