  The ``normal'' analysis of $\pbar p$ and $pp$ elastic scattering uses a
`spinless' Coulomb amplitude, \ie a Rutherford amplitude
($2\sqrt{\pi}\alpha/t$) multiplied by a Coulomb form factor $G^2(t)$, an {\em
ansatz} that pretends that the nucleon does not have any magnetic scattering.
In this note, we investigate the role of the anomalous magnetic moment of the
nucleon, $\kappa \approx 1.79$. Given the method of analysis currently used by
most published experiments, we conclude that the current experimentally
inferred values of $\rho$ for $\pbar p$ should be {\em systemeatically lowered}
by $\approx 0.005$---0.0100 and, correspondingly, the $\rho$ values for $pp$
should be {\em systematically raised} by the same amount. We discuss the
theoretical uncertainties and a method of experimentally minimizing them.
