Transport Dynamics of Broad Resonances

Abstract

The propagation of short life time particles with consequently broad mass width are discussed in the context of transport descriptions. In the first part some known properties of finite life time particles such as resonances are reviewed and discussed at the example of the $\rho$-meson. Grave deficiencies in some of the transport treatment of broad resonances are disclosed and quantified. The second part addresses the derivation of transport equations which permit to account for the damping width of the particles. Baym's $\Phi$-derivable method is used to derive a self-consistent and conserving scheme, which fulfils detailed balance relations even in the case of particles with broad mass distributions. For this scheme a conserved energy-momentum tensor can be constructed. Furthermore, a kinetic entropy can be derived which besides the standard quasi-particle part also includes contributions from fluctuations.

Talk presented on the Erice School on Nuclear Physics, Erice, Italy, Sept. 17 - 25, 1998 to be published in Progress in Particle and Nuclear Physics, Vol. 42 (10 pages, 5 eps-figures)

References in corpus (6)

• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• Rho Meson Propagation and Dilepton Enhancement in Hot Hadronic Matter
• P-Wave Polarization of the $\rho$-Meson and the Dilepton Spectrum in Dense Matter
• On QCD sum rules for vector mesons in nuclear medium
• Seeing phi meson through the dilepton spectra in heavy-ion collisions
• Medium effects in the production and decay of $\omega$- and $\rho$-resonances in pion-nucleus interactions

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• Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations
• Precision study of the $\eta \to {\mu }^{+}{\mu }^{-}\gamma$ and $\omega \to {\mu }^{+}{\mu }^{-}{\pi }^0$ electromagnetic transition form-factors and of the $\rho \to {\mu }^{+}{\mu }^{-}$ line shape in NA60
• Off-shell effects on particle production
• Off-shell omega production in proton-proton collisions near threshold
• Dimuon radiation at the CERN SPS within a (3+1)d hydrodynamic+cascade model
• Soft Modes, Resonances and Quantum Transport
• Dielectron production in proton-proton collisions at $\sqrt{s}$ = 7 TeV
• Nuclear dependence of light neutral meson production in p-A collisions at 400 GeV with NA60