Chiral approach to the rho meson in nuclear matter

Abstract

In this work, the properties of the $\rho$ meson at rest in cold symmetric nuclear matter are studied. We make use of a chiral unitary approach to pion-pion scattering in the vector-isovector channel, calculated from the lowest order Chiral Perturbation Theory ($\chi PT$) lagrangian including explicit resonance fields. Low energy chiral constraints are considered by matching our expressions to those of one loop $\chi PT$. To account for the medium corrections, the $\rho$ couples to $\pi \pi$ pairs which are properly renormalized in the nuclear medium, accounting for both $p-h$ and $\Delta -h$ excitations. The terms where the $\rho$ couples directly to the hadrons in the $p-h$ or $\Delta -h$ excitations are also accounted for. In addition, the $\rho$ is also allowed to couple to $N^{\ast }(1520)-h$ components.

30 pages, 20 figures, revised version. Additional sources of the rho selfenergy considered. Some references added

References in corpus (10)

• Phi decay in nuclei
• Observation of $\rho /\omega$ Meson Modification in Nuclear Matter
• Pion and Kaon Vector Form Factors
• The $\rho$ Spectral Function in a Relativistic Resonance Model
• Recent results from Pb-Au collisions at 158 GeV/c per nucleon obtained with the CERES spectrometer
• Perspectives of $e^{+}{e}^{-}$ production in pp, pd and p Be reactions at SIS energies
• QCD sum rules for rho mesons in nuclear matter
• Renormalization of the f0(980) and a0(980) scalar resonances in a nuclear medium
• rho -> pi pi decay in nuclear medium
• New Results on Pb-Au Collisions at 40 AGeV from the CERES/NA45 Experiment

Cited by in corpus (57)

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• Effects of pseudoscalar-baryon channels in the dynamically generated vector-baryon resonances
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• Light Vector Mesons in the Nuclear Medium
• Dynamically generated resonances from the vector octet-baryon decuplet interaction
• In-medium hadronic spectral functions through the soft-wall holographic model of QCD
• Chiral dynamics of p-wave in K^- p and coupled states
• Inclusive omega photoproduction off nuclei
• Anti-strange meson-baryon interaction in hot and dense nuclear matter
• ${\bar{K}}^{\ast }$ meson in dense matter
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• Medium Modifications of Hadron Properties and Partonic Processes
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• Binding of charmonium with two- and three-body nuclei
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• Electromagnetic Probes
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• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
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• Medium Modifications of the Rho Meson in Nuclear Photoproduction
• Dileptons and Medium Effects in Heavy-Ion Collisions
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• Update on Chiral Symmetry Restoration in the Context of Dilepton Data
• QCD sum rules at finite density in the large-N_c limit: The coupling of the rho-nucleon system to the D_{13}(1520)
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• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
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• Production of ${\Theta }^{+}$ Hypernuclei with the $(K^{+},{\pi }^{+})$ reaction
• Medium effects on the electromagnetic form factors of the $\rho$ meson
• Holographic vector mesons in a hot and dense medium
• Nuclear effects on the $\rho$ meson produced in the inclusive photonuclear reaction
• Selfconsistent descriptions of vector-mesons in hot matter revisited
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