We consider the jet cross sections for gluons coupling to quarks with
an anomalous chromomagnetic moment. We then apply this to the
deviation and bounds from QCD found in the CDF and D0 Fermilab data,
respectively, to find a range of possible values for the anomalous
moments. The quadratic and quartic terms in the anomalous moments can
fit to the rise of a deviation with transverse energy. Since previous
analyses have been done on the top quark total cross section, here we
assume the same moment on all quarks except the top and find the range
$|\kappa'| \equiv |\kappa/(2 m_q)| = 1.0\pm 0.3$ TeV$^{-1}$ for the
CDF data. Assuming the anomalous moment is present only on a charm or
bottom quark which is pair produced results in a range $|\kappa'_{b,c}| =
3.5 \pm 1.0 $ TeV$^{-1}$. The magnitudes here are compared with
anomalous magnetic moments that could account for $R_b$ and found to
be in the same general range, as well as not inconsistent with LEP and
SLD bounds on $\Delta \Gamma_{\text{had}}$.