Analysis of the scalar nonet mesons with the QCD sum rules

Abstract

In this article, we assume that the nonet scalar mesons below $1\mathrm{GeV}$ are the two-quark-tetraquark mixed states and study their masses and pole residues using the QCD sum rules. In calculation, we take into account the vacuum condensates up to dimension 10 and the $\mathcal{O}({\alpha }_s)$ corrections to the perturbative terms in the operator product expansion. We determine the mixing angles, which indicate the two-quark components are much larger than $50\%$, then obtain the masses and pole residues of the nonet scalar mesons.

22 pages, 32 figures

References in corpus (14)

• Big-Bang Nucleosynthesis
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A Theory of Scalar Mesons
• Analysis of the $P_c(4380)$ and $P_c(4450)$ as pentaquark states in the diquark model with QCD sum rules
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Note on a sigma model connection with instanton dynamics
• Exotic Tetraquark ud bar[s] bar[s] of J^P=0^+ in the QCD Sum Rule
• Analysis of the $Z_c(4200)$ as axial-vector molecule-like state
• QCD Sum Rule Study of the Masses of Light Tetraquark Scalar Mesons
• Mixings of 4-quark components in light non-singlet scalar mesons in QCD sum rules
• Instanton interpolating current for $\sigma$--tetraquark
• Analysis of the X(1576) as a tetraquark state with the QCD sum rules
• On the $\pi \pi$ contribution to the QCD sum rules for the light tetraquark

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• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
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• The strong decays of the light scalar mesons $f_0(500)$ and $f_0(980)$
• Scalar mesons in the chiral theory with quark degrees of freedom
• The new $a_1(1420)$ state: structure, mass and width
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Strong decays of the vector tetraquark states with the masses about $4.5\mathrm{GeV}$ via the QCD sum rules
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules
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