Valid QCD Sum Rules for Vector Mesons in Nuclear Matter

Abstract

QCD sum rules for vector mesons (rho, omega, phi) in nuclear matter are reexamined with an emphasis on the reliability of various sum rules. Monitoring the continuum contribution and the convergence of the operator product expansion plays a crucial role in determining the validity of a sum rule. The uncertainties arising from less than precise knowledge of the condensate values and other input parameters are analyzed via a Monte-Carlo error analysis. Our analysis leaves no doubt that vector-meson masses decrease with increasing density. This resolves the current debate over the behavior of the vector-meson masses and the sum rules to be used in extracting vector meson properties in nuclear matter. We find a ratio of rho-meson masses of $m_{{\rho }^{\ast }}/m_{\rho }=0.78\pm 0.08$ at nuclear matter saturation density.

20 page RevTeX Manuscript with embedded figures. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/

References in corpus (12)

• QCD Sum Rules and Applications to Nuclear Physics
• QCD Sum Rules for Skeptics
• Vector Mesons in Nuclear Medium -- an Effective Lagrangian Approach --
• Medium Modification to the $\Omega$-Meson Mass in the Walecka Model
• Variations of Hadron Masses and Matter Properties in Dense Nuclear Matter
• QCD sum rules for $\Delta$ isobar in nuclear matter
• QCD Sum Rules for $\Sigma$ Hyperons in Nuclear Matter
• Testing QCD Sum Rule Techniques on the Lattice
• rho, omega, phi-Nucleon Scattering Lengths from QCD Sum Rules
• Dirac sea effects in $K^{+}$ scattering from nuclei
• Baryon QCD sum rules in an external isovector-scalar field and baryon isospin mass splittings
• Calculation of $<p|\overline{u}u-\overline{d}d|p>$ from QCD sum rule and the neutron-proton mass difference

Cited by in corpus (55)

• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• Hadron properties in the nuclear medium
• QCD Sum Rules for Skeptics
• Mass modification of D-meson at finite density in QCD sum rule
• What QCD sum rules tell about the rho meson
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Modified Quark-Meson Coupling Model for Nuclear Matter
• Recovering Relativistic Nuclear Phenomenology from the Quark-Meson Coupling Model
• Effects of Dirac sea polarization on hadronic properties - A chiral SU(3) approach
• An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• From Chiral Lagrangians to Landau Fermi Liquid Theory of Nuclear Matter
• On QCD sum rules for vector mesons in nuclear medium
• In-medium vector meson masses in a Chiral SU(3) model
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Fluctuations In ``BR-Scaled'' Chiral Lagrangians
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Inclusive omega photoproduction off nuclei
• Rho-omega mixing in asymmetric nuclear matter via QCD sum rule approach
• Determination of the scalar glueball mass in QCD sum rules
• QCD sum rule analysis for light vector and axial-vector mesons in vacuum and nuclear matter
• In-medium spectral change of omega mesons as a probe of QCD four-quark condensate
• Naturalness in the quark-meson coupling model
• Change of MIT Bag Constant in Nuclear Medium and Implication for the EMC Effect
• More about the $B$ and $D$ mesons in nuclear matter
• Mass and Width of the Rho Meson in a Nuclear Medium from Brown-Rho Scaling and QCD Sum Rules
• Equation of state of isospin-asymmetric nuclear matter in relativistic mean-field models with chiral limits
• Self-consistent description of vector-mesons in matter
• Measurement of Meson Resonance Production in ${\pi }^{-}+$C Interactions at SPS energies
• In-Medium rho^0 Spectral Function Study via the 2H, 3He, 12C(gamma,pi+pi-) Reaction
• Liquid-gas phase transition in hot asymmetric nuclear matter with density-dependent relativistic mean-field models
• Seeing phi meson through the dilepton spectra in heavy-ion collisions
• Properties of nucleon in nuclear matter: once more
• QCD sum rules for rho mesons in nuclear matter
• Rho-Omega Mixing via QCD Sum Rules with Finite Mesonic Widths
• In-medium vector meson properties and low-mass dilepton production from hot hadronic matter
• Quark Condensates in Nuclear Matter in the Global Color Symmetry Model of QCD
• $\rho$-Meson Production and Decay in Proton-Nucleus Collisions
• Vector meson masses in hot nuclear matter : the effect of quantum corrections
• New QCD Sum Rules for Nucleon Axial Vector Coupling Constants
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• rho-omega mixing in relativistic heavy-ion collisions
• New QCD Sum Rules for Nucleon Tensor Charge
• Chirality and Reliability of Baryon QCD Sum Rules
• Dilepton emission rates from hot hadronic matter
• Rho - Omega Splitting and Mixing in Nuclear Matter
• Subtracted Dispersion Relations for In-Medium Meson Correlators in QCD Sum Rules
• Scaling Behavior in Soliton Models
• Matter induced $\rho$-$\delta$ mixing : a source of dileptons
• In-medium omega meson mass and quark condensate in a Nambu Jona-Lasinio model constrained by recent experimental data
• Collision broadening of rho meson in a dropping mass scenario
• Reappraisal of rho meson in nuclear matter by inverse QCD sum rules method
• Effective Field Theories, Landau-Migdal Fermi-Liquid Theory and Effective Chiral Lagrangians for Nuclear Matter
• The Changes in Properties of Hadrons in Nuclei and Nuclear Matter
• Probing in-medium vector meson decays by double-differential di-electron spectra in heavy-ion collisions at SIS energies