2005/12/31 by Stéphan Narison, Stephan Narison, CNRS-Montpellier · 86 citations
Mathematics · Physics and Astronomy · #Glueball #High-Energy Particle Collisions Research #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Scalar (mathematics) #Scalar meson #hep-ex #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.73.114024
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(11) (American Physical Society) · Version to appear in Phys. Rev. D (one previous figure corrupted)
arxiv created 2006/06/01 · openalex publication_date 2006/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by several recent data, we test the QCD spectral sum rules (QSSR) predictions based on different proposals (qq, qqqq, and gluonium) for the nature of scalar mesons. In the I=1 and 1/2 channels, the unusual wrong splitting between the a0(980) and \ensuremathκ(900) and the a0(980) width can be understood from QSSR within a qq assignment. However, none of the qq and qqqq results can explain the large \ensuremathκ width, which may suggest that it can result from a strong interference with nonresonant backgrounds. In the I=0 channel, QSSR and some low-energy theorems (LET) require the existence of a low mass gluonium \ensuremathσB(1 GeV) coupled strongly to Goldstone boson pairs which plays in the U(1)V channel, a similar role as the \ensuremathη^\ensuremath' for the value of the U(1)A topological charge. The observed \ensuremathσ(600) and f0(980) mesons result from a maximal mixing between the gluonium \ensuremathσB and qq (1 GeV) mesons, a mixing scheme which passes several experimental tests. Okubo-Zweig-Izuki (OZI) violating J/\ensuremathψ\ensuremath→\ensuremathφ\ensuremathπ+\ensuremathπ^\ensuremath-, Ds\ensuremath→3\ensuremathπ decays, and J/\ensuremathψ\ensuremath→\ensuremathγS glueball filter processes may indicate that the f0(1500), f0(1710), and f0(1790) have significant gluonium components in their wave functions, while the f0(1370) is mostly qq. Tests of these results can be provided by the measurements of the pure gluonium \ensuremathη^\ensuremath'\ensuremathη and 4\ensuremathπ specific U(1)A decay channels.