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

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

1998-06-25

arxiv.org/abs/nucl-th/9806078v1

Nucl.Phys. A642 (1998) 165-170

Physics

Nuclear Physics

Nuclear Theory

6 pages, talk presented at the workshop "QCD at finite baryon density" Zif, Bielefeld, April 27-30, 1998. Submitted to Nucl. P

Scientific paper

10.1016/S0375-9474(98)00512-0

Using the QCD Operator Product Expansion, we derive the real part of the transverse and longitudinal vector vector correlation function with the $\rho,\omega$ quantum numbers to leading order in density and in ${\bf q}^2$ at $-\omega^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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