2023 Impact factor 2.6
Hadrons and Nuclei
Eur. Phys. J. A 15, 529-537 (2002)
DOI: 10.1140/epja/i2002-10062-4

Evaluation of QCD sum rules for light vector mesons at finite density and temperature

S. Zschocke1, O.P. Pavlenko1, 2 and B. Kämpfer1

1  Forschungszentrum Rossendorf, PF 510119, 01314 Dresden, Germany
2  Institute for Theoretical Physics, 03143 Kiev - 143, Ukraine

Kaempfer@fz.rossendorf.de

(Received: 15 May 2002 / Revised version: 29 July 2002 / Published online: 10 December 2002)

Abstract
QCD sum rules are evaluated at finite nucleon densities and temperatures to determine the change of mass parameters for the lightest vector mesons $\rho$, $\omega$ and $\phi$ in a strongly interacting medium. For conditions relevant for the starting experiments at HADES we find that the in-medium mass shifts of the $\rho$- and $\omega$-mesons are governed, within the Borel QCD sum rule approach, by the density and temperature dependence of the four-quark condensate. In particular, the variation of the strength of the density dependence of the four-quark condensate reflects directly the decreasing mass of the $\rho$-meson and can lead to a change of the sign of the $\omega$-meson mass shift as a function of the density. In contrast, the in-medium mass of the $\phi$-meson is directly related to the chiral strange quark condensate which seems correspondingly accessible.

PACS
14.40.Cs - Other mesons with S=C=0, mass < 2.5 GeV.
21.65.+f - Nuclear matter.
11.30.Rd - Chiral symmetries.
24.85.+p - Quarks, gluons, and QCD in nuclei and nuclear processes.

© Società Italiana di Fisica, Springer-Verlag 2002