Chiral Structure of Scalar and Pseudoscalar Mesons

Table 1

Flavor singlet tetraquark currents of 𝐽^𝑃=0⁺, showing their chiral representations and chirality. The second and third columns show the flavor and color structures of the diquark and antidiquark inside, respectively.

Currents	Flavor	Color	Representations	Chirality
𝜂^S1^,𝕊−𝜂^S2^,𝕊	𝟑⊗𝟑	𝟑⊗𝟑	[(𝟏,𝟏)]	𝐿𝐿𝐿𝐿+𝑅𝑅𝑅𝑅
𝜂^S4^,𝕊−𝜂^S5^,𝕊	𝟔⊗𝟔	𝟔⊗𝟔
𝜂^S1^,𝕊+𝜂^S2^,𝕊	𝟑⊗𝟑	𝟑⊗𝟑	[(𝟑,𝟑)+(𝟑,𝟑)]	𝐿𝐿𝑅𝑅+𝑅𝑅𝐿𝐿
𝜂^S4^,𝕊+𝜂^S5^,𝕊	𝟔⊗𝟔	𝟔⊗𝟔	[(𝟔,𝟔)+(𝟔,𝟔)]	𝐿𝐿𝑅𝑅+𝑅𝑅𝐿𝐿
𝜂^S3^,𝕊	𝟑⊗𝟑	𝟔⊗𝟔	[(𝟑,𝟑)+(𝟑,𝟑)]	𝐿𝐿𝑅𝑅+𝑅𝑅𝐿𝐿
𝜂^S6^,𝕊	𝟔⊗𝟔	𝟑⊗𝟑	[(𝟔,𝟔)+(𝟔,𝟔)]	𝐿𝐿𝑅𝑅+𝑅𝑅𝐿𝐿
𝜂^S7^,𝕊−𝜂^S,𝕊10	mixed	𝟑⊗𝟑	[(𝟏,𝟏)]	𝐿𝑅𝐿𝑅+𝑅𝐿𝑅𝐿
𝜂^S8^,𝕊−𝜂^S9^,𝕊	mixed	𝟔⊗𝟔
2𝜂^S7^,𝕊+𝜂^S,𝕊10	mixed	𝟑⊗𝟑	[(𝟖,𝟖)+(𝟖,𝟖)]	𝐿𝑅𝐿𝑅+𝑅𝐿𝑅𝐿
2𝜂^S8^,𝕊+𝜂^S9^,𝕊	mixed	𝟔⊗𝟔