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Vector mesons in nuclear medium with small three momentum, a QCD sum rule approach

Su Houng Lee·Hungchong Kim
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Abstract

Using the QCD Operator Product Expansion, we derive the real part of the transverse and longitudinal vector vector correlation function with the $ρ,ω$ quantum numbers to leading order in density and in ${\bf q}^2$ at $-ω^2\to \infty $. To dimension 6, only twist-2 and 4 operators contribute. These OPE, through the energy dispersion relation, provide model independent constraints for the ${\bf q}$ dependence of the vector meson spectral density in nuclear medium. We further make a QCD sum rule type of analysis to extract the momentum dependence of the vector meson dispersion relation in medium. The contributions from twist-2 operators are added up to infinite order to check the validity of the OPE at the relevant Borel window.

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Su Houng Lee, Hungchong Kim. 1998-06-25. Vector mesons in nuclear medium with small three momentum, a QCD sum rule approach. https://doi.org/10.1016/s0375-9474(98)00512-0

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