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.
Highlights
An important issue in hadron spectroscopy is the identification of the glueballs
The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons and the colored valence gluons gauge independently naturally generalizes the quark model to the quark and chromon model which could play the central role in hadron spectroscopy
We present the numerical analysis of glueball-quarkonium mixing in 0þþ, 2þþ, and 0−þ sectors below 2 GeV and show that in the 0þþ sector f0ð500Þ and f0ð1500Þ, in the 2þþ sector f2ð1950Þ, and in the 0−þ sector ηð1405Þ and ηð1475Þ could be identified as the predominant glueball states
Summary
An important issue in hadron spectroscopy is the identification of the glueballs. The general wisdom is that QCD must have glueballs made of gluons [1,2,3], and several models of glueballs have been proposed [4,5,6,7,8,9]. What is most important for our purpose is that it allows us to have a clear picture of glueballs with which we can identify them This is because the chromons play the role of the constituent gluons while the neurons bind them, after the confinement sets in. We have discussed the general framework of hadron spectroscopy based on the quark and chromon model, and showed how the model can explain the glueball-quarkonium mixing and allow us to identify the glueballs [32]. The present paper is the sequel of this work in which we extend the preceding work and discuss the numerical analysis of the glueball-quarkonium mixing in more detail to help identify the glueballs without ambiguity Our analysis makes it clear that the chromoballs play the central role in the meson spectroscopy, in general they do not appear as mass eigenstates. In the last section, we discuss the physical implications of our analysis
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
