Two new QCD sum rules for nucleons in nuclear matter are obtained from
a mixed correlator of spin-1/2 and spin-3/2 interpolating fields, The
se new sum rules, which are insensitive to the poorly known four-quark
condensates, provide additional information on the nucleon scalar sel
f-energy, They are analyzed along with previous spin-1/2 interpolator-
based sum rules which are also insensitive to the poorly known four-qu
ark condensates. The analysis indicates consistency with the expectati
ons of relativistic nuclear phenomenology at nuclear matter saturation
density. However, a weaker density dependence near saturation is sugg
ested, Using previous estimates of in-medium condensate uncertainties,
we find M = 0.64(-0.09)(+0.13) GeV and Sigma(upsilon) = 0.29(-0.10)(
+0.06) GeV at nuclear matter saturation density.