Abstract
We systematically study the chiral structure of local tetraquark currents of flavor singlet and J(P)=0(+). We also investigate their chiral partners, including scalar and pseudoscalar tetraquark currents of flavor singlet, octet, 10, 10_bar and 27. We study their chiral transformation properties. Particularly, we use the tetraquark currents belonging to the "non-exotic" [(3_bar,3)+(3,3_bar)] chiral multiplets to calculate the masses of light scalar mesons through QCD sum rule. The two-point correlation functions are calculated including all terms and only the connected parts. The results are consistent with the experimental values.
Highlights
The quark model is very successful in explaining the hadron spectrum with using quark-antiquark mesons and three-quark baryons [1,2,3,4,5]
We did not know the relation of these currents with the internal structure of light scalar mesons at that time, we found that studying the chiral structure of scalar tetraquark currents can be useful to answer this question
We shall systematically study the chiral structure of light scalar mesons through local tetraquark currents which belong to the “nonexotic” [(3, 3) ⊕ (3, 3)] chiral multiplets
Summary
The quark model is very successful in explaining the hadron spectrum with using quark-antiquark mesons and three-quark baryons [1,2,3,4,5]. In this paper we shall follow their approaches and study the chiral structure of local scalar and pseudoscalar tetraquark currents These tetraquark currents can be used in the QCD sum rule analyses [43, 59,60,61] as well as the Lattice QCD calculations [6, 62,63,64,65,66,67,68]. We shall systematically study the chiral structure of light scalar mesons through local tetraquark currents which belong to the “nonexotic” [(3, 3) ⊕ (3, 3)] chiral multiplets. In this paper we shall use the method of QCD sum rule to calculate the masses of light scalar mesons through local scalar tetraquark currents belonging to the “nonexotic”.
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