VECTOR-MESONS IN NUCLEAR MEDIUM WITH SMALL 3-MOMENTUM, A QCD SUM-RULEAPPROACH

Using the QCD Operator Product Expansion, we derive the real part of t he transverse and longitudinal vector vector correlation function with the rho,omega quantum numbers to leading order in density and in q(2) at -omega(2) --> infinity. To dimension 6, only twist-2 and 4 operato rs contribute. These OPE, through the energy dispersion relation, prov ide model independent constraints for the q dependence of the vector m eson spectral density in nuclear medium. We further make a QCD sum rul e type of analysis to extract the momentum dependence of the vector me son dispersion relation in medium. The contributions from twist-2 oper ators are added up to infinite order to check the validity of the OPE at the relevant Borel window.