Self-consistent description of vector-mesons in matter

Abstract

We study the influence of the virtual pion cloud in nuclear matter at finite densities and temperatures on the structure of the rho- and omega-mesons. The in-matter spectral function of the pion is obtained within a selfconsistent scheme of coupled Dyson equations where the coupling to the nucleon and the Delta(1232)-isobar resonance is taken into account. The selfenergies are determined using a two-particle irreducible (2PI) truncation scheme (Phi-derivable approximation) supplemented by Migdal's short range correlations for the particle-hole excitations. The so obtained spectral function of the pion is then used to calculate the in-medium changes of the vector-meson spectral functions. With increasing density and temperature a strong interplay of both vector-meson modes is observed. The four-transversality of the polarisation tensors of the vector-mesons is achieved by a projector technique. The resulting spectral functions of both vector-mesons and, through vector dominance, the implications of our results on the dilepton spectra are studied in their dependence on density and temperature.

24 pages, 28 figures

References in corpus (2)

• Latest Results from CERES/NA45
• Migdal's short range correlations in a covariant model

Cited by in corpus (22)

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• Hadron melting and QCD thermodynamics
• The Vector Probe in Heavy-Ion Reactions
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• Weighted finite energy sum rules for the omega meson in nuclear matter
• Selfconsistent approximations, symmetries and choice of representation
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• Properties of Nuclear and Neutron Matter and Thermodynamic Consistency in a Nonlinear Mean-field Approximation
• Covariant and self consistent vertex corrections for pions and isobars in nuclear matter
• Medium Modifications of the Rho Meson in Nuclear Photoproduction
• The width of the omega meson in the nuclear medium
• Resonance decay dynamics and their effects on $p_T$-spectra of pions in heavy-ion collisions
• The $\pi \rho$ Cloud Contribution to the $\omega$ Width in Nuclear Matter
• Analysis of $\omega$ self-energy at finite temperature and density in the real-time formalism
• Comment on: Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions (by J. Ruppert and T. Renk Phys. Rev. C71 (2005) 064903; nucl-th/0412047
• Dynamics of Resonances in Strongly Interacting Systems
• Selfconsistent descriptions of vector-mesons in hot matter revisited