What if $G_E^s $ is Zero? Implications for $G_M^s $and $G_A^s $

Because strange quarks are the lightest quarks present in nucleons via only vacuum fluctuations, studying their activities in nucleons gives us insight to the vacuum's effects on nucleon properties. These contributions can be accessed through electroweak interactions---in particular through parity-violating \textit{eN} and \textit{$\nu $N} elastic scattering. Recent data from parity-violating \textit{eN} elastic scattering (HAPPEX, PVA4) suggests that the strange contribution to the proton electric form factor, $G_E^s $, may be nearly zero in the range 0 $<$ Q$^{2 }<$ 1 GeV$^{2}$. We assume that $G_E^s $ is small and use existing \textit{$\nu $N} data to explore the consequences for $G_M^s $ and $G_A^s $.