Abstract
We formulate a QCD sum rule to find the three momentum dependence of the peak position of the vector meson spectral density in nuclear medium. We find less than 2 % (0.1 %) shift of the peak position at nuclear matter density and at ($q =0.5$GeV/c) for the $\rho,\omega (\phi$) mesons. However, at higher density and three momentum, its effect becomes non-negligible. The relevance of our result in the dilepton spectrum in A-A and p-A reaction is discussed.
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