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Valid QCD sum rules for vector mesons in nuclear matter

1995/10/31 by Xuemin Jin, Derek B. Leinweber · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Nuclear matter #Nucleon #Omega #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Product (mathematics) #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Saturation (graph theory) #Sum rule in quantum mechanics #Vector meson #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.52.3344

published as Phys.Rev.C52:3344-3352,1995 · 20 page RevTeX Manuscript with embedded figures. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/

arxiv created 1995/10/31 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

QCD sum rules for vector mesons (\ensuremathρ, \ensuremathω, \ensuremathφ) 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 \ensuremathρ-meson masses of m_\mathrm\ensuremathρ*/m_\mathrm\ensuremathρ=0.78\ifmmode±\else\textpm\fi0.08 at nuclear matter saturation density.

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