Study on the mixing among the 0⁺⁺ mesons around 1 2 GeV with the QCD sum rules

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We calculate the correlation functions of 0⁺⁺ q q, s s and glueball in the QCD sum rules and obtain the mass matrix where non-diagonal terms are determined by the cross correlations among the three states. Diagonalizing the mass matrix and identifying the eigenstates as the physical 0⁺⁺ scalar mesons, we can determine the mixing. Concretely, our calculations determine the fractions of q q, s s and glueball in the physical states f₀(1370), f₀(1500) and f₀(1710), the results are consistent with that gained by the phenomenological research.