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arXiv · hep-ph/9702240

QCD Sum Rules and Vector Mesons in Nuclear Matter

F. Klingl·W. Weise
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Abstract

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the s-wave vector meson-nucleon scattering amplitudes. We use this as an input for the low energy part of the current-current correlation function in nuclear matter. Its spectrum enters directly in the ``left hand side'' of QCD sum rules. For the isovector channel we find a significant enhancement of the in-medium spectral density below the $ρ$ resonance while the mass of $ρ$ meson itself decreases only slightly. The situation is different in the isoscalar channel. Here the mass and therefore the peak position of the $ω$ meson decreases strongly while the width increases less drastically than in the $ρ$ meson case. For the $ϕ$ meson we find almost no mass shift, the width of the peak broadens due to the imaginary part of the scattering length. We find a remarkable degree of consistency with the operator product expansion of QCD sum rules in all three channels.

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F. Klingl, W. Weise. 1997-02-04. QCD Sum Rules and Vector Mesons in Nuclear Matter. https://arxiv.org/abs/hep-ph/9702240

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