Mass and Width of the Rho Meson in a Nuclear Medium from Brown-Rho Scaling and QCD Sum Rules

Abstract

We explore the range of values of the in-medium width of a $\rho$-meson at rest which is compatibale with the QCD sum rule approach in a nuclear medium assuming vector meson dominance and a Brown-Rho scaling law of the $\rho$-meson mass with the chiral condensate. The lower and upper bounds for the in-medium width are found to be strongly increasing with the decreasing mass of the $\rho$-meson (increasing nuclear density). We also study the bounds for the in-medium width in models not satisfying the Brown-Rho scaling law. It is shown that the in-medium width depends on how rapidly the mass decreases in comparison to the change of the quark condensate. The bounds for the in-medium width increase with density only if the relative change of the quark condensate is stronger than the relative decrease in mass. This is important for experimental tests of the Brown-Rho scaling paradigm and other dropping $\rho$-mass scenarios.

arXiv commentRevised and extended version. In this version we also study the in-medium width for decreasing $\rho$-masses in models that do not satisfy the Brown-Rho scalin law

References in corpus (14)

• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• Chiral Restoration in Hot and/or Dense Matter
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Medium Modifications of the Rho Meson at CERN/SPS Energies
• QCD Sum Rules for Skeptics
• The Spectral Function of the Rho Meson in Nuclear Matter
• What QCD sum rules tell about the rho meson
• Hadronic Spectral Functions in Nuclear Matter
• QCD Sum Rules, Scattering Length and the Vector Mesons in Nuclear Medium
• Valid QCD Sum Rules for Vector Mesons in Nuclear Matter
• Recent results from Pb-Au collisions at 158 GeV/c per nucleon obtained with the CERES spectrometer
• Matching the QCD and Hadron Sectors and Medium Dependent Meson Masses; Hadronization in Relativistic Heavy Ion Collisions
• Non-perturbative finite $T$ broadening of the $\rho$ meson and dilepton emission in heavy ion-collisions
• QCD sum rules at finite density in the large-N_c limit: The coupling of the rho-nucleon system to the D_{13}(1520)

Cited by in corpus (25)

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• D meson mass increase by restoration of chiral symmetry in nuclear matter
• More about the $B$ and $D$ mesons in nuclear matter
• Equation of State for Hot and Dense Matter: $\sigma$-$\omega$-$\rho$ Model with Scaled Hadron Masses and Couplings
• QCD sum rules for rho mesons in vacuum and in-medium, re-examined
• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
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• QCD in the nuclear medium and effects due to Cherenkov gluons
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