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Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 24: Electromagnetic and Hadronic Probes III

HK 24.4: Talk

Wednesday, March 10, 2004, 11:45–12:00, B

Finite density QCD sum rules in the large-Nc limit — •Stefan Leupold and Marcus Post — Institut für Theoretische Physik, Universität Giessen, 35392 Giessen, Germany

QCD sum rules are analysed for finite nuclear density for the ρ-meson channel. On the condensate side in-medium changes can be calculated in the linear density approximation. On the hadronic side various physical effects lead to modifications of the current-current correlator, e.g. (a) changes of the pion cloud of the ρ-meson, (b) excitation of nucleon-hole states N N−1 and (c) excitation of resonance-hole states R N−1. In principle, it is complicated to disentangle these effects in sum rule analyses. It is shown that in the limit of infinitely many colors the numerically most important in-medium changes of the condensate side remain. On the other hand, on the hadronic side only the resonance-hole excitations survive. Assuming that the dominant excitation is the D13(1520) we determine the coupling constants of the latter with the ρ-nucleon and the photon-nucleon system. We obtain reasonable agreement with the experimental situation. In particular, we extract a partial decay width of the D13 into ρ-N of about 12 MeV.
Work supported by GSI.

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