Abelian Decomposition and Glueball-Quarkonium Mixing in QCD

Abstract

The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons (the neurons) and the colored valence gluons (the chromons) gauge independently naturally generalizes the quark model to the quark and chromon model which could play the central role in hadron spectroscopy. We discuss the color reflection symmetry, the fundamental symmetry of the quark and chromon model, and explain how it describes the glueballs and the glueball-quarkonium mixing in QCD. We present the numerical analysis of glueball-quarkonium mixing in $0^{++}$, $2^{++}$, and $0^{-+}$ sectors below 2 GeV, and show that in the $0^{++}$ sector $f_0(500)$ and $f_0(1500)$, in the $2^{++}$ sector $f_2(1950)$, and in the $0^{-+}$ sector $\eta (1405)$ and $\eta (1475)$ could be identified as predominantly the glueball states. We discuss the physical implications of our result.

arXiv admin note: text overlap with arXiv:1503.08890

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Cited by in corpus (5)

• Study of the exclusive reaction $pp\to pp{K}^{\ast 0}{\bar{K}}^{\ast 0}$: $f_2(1950)$ resonance versus diffractive continuum
• Nonlocal gluon condensates in QCD sum rules
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Experimental Verification of Two types of Gluon Jets in QCD
• Compact $N$-quark Hadron Mass Dependence on $N^4$: A Classical Field Picture