Do the QCD sum rules support four-quark states?

2007/05/11 by R. Matheus, R. D. Matheus, F. S. Navarra +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.76.056005

published as Phys.Rev.D76:056005,2007 · Latex file 6 pages, 6 eps figures, minor changes, references added

arxiv created 2007/05/11 · openalex publication_date 2007/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We test the validity of the QCD sum rules applied to the light scalar mesons, the charmed mesons D_s0(2317) and D_s1(2460), and the X(3872) axial meson, considered as tetraquark states. We find that, with the studied currents, it is possible to find an acceptable Borel window only for the X(3872) meson. In such a Borel window we have simultaneously a good operator product expansion convergence and a pole contribution which is bigger than the continuum contribution. These results may indicate that light many-quark states cannot be considered as resonances separated from the continuum.

Citations

• Are the pentaquark sum rules reliable?
• Strange-quark mass from combined e+e− and τ-decay data: test of the isospin symmetry and implications on ϵ′/ϵ and mu,d

Cited by

• Mixings of four-quark components in light nonsinglet scalar mesons in QCD sum rules