English

Vector mesons in medium

High Energy Physics - Phenomenology 2007-05-23 v1 Nuclear Theory

Abstract

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the forward vector meson-nucleon scattering amplitudes. We use this as an input to calculate the low energy part of the current-current correlation function in nuclear matter. For the isovector channel we find a significant enhancement of the in-medium spectral density below the ρ\rho resonance while the ρ\rho meson mass itself changes only slightly. The situation is different in the isoscalar channel, where the mass and peak position of the ω\omega meson move downward while its width increases moderately. For the ϕ\phi meson we find almost no mass shift, but the width of the peak increases significantly. We use these spectra as ``left hand side'' of in medium QCD sum rules and observe a remarkable degree of consistency with the operator product expansion ``right hand''side in all three channels. We point out, however, that these results cannot simply be interpreted, as commonly done, in terms of a universal rescaling of vector meson masses in matter. We also compare the resulting thermal dilepton rates of our model with CERES data. We find satisfactory agreement but we point out that the dilepton rates from completely uncorrelated quark-antiquark pairs also fit the data quite well. Considering the strongly attractive potential for the ω\omega together with its comparably small width, we discuss the possible formation of bound ω\omega states in nuclei. Using a Green's function approach we investigate the possibility of detecting these bound states in the A(d,3He)A(d, ^3He) pick-up reaction.

Keywords

Cite

@article{arxiv.hep-ph/9802211,
  title  = {Vector mesons in medium},
  author = {F. Klingl and W. Weise},
  journal= {arXiv preprint arXiv:hep-ph/9802211},
  year   = {2007}
}

Comments

13 pages in Latex, talk given at the XXXVI International Winter Meeting on Nuclear Physics