CCAST, World Lab, Beijing 100080, Peoples R China
; Inst High Energy Phys, Beijing 100049, Peoples R China
We study the twist-3 distribution amplitudes for scalar mesons made up of two valence quarks based on QCD sum rules. By choosing the proper correlation functions, we derive the moments of the scalar mesons up to the first two orders. Making use of these moments, we then calculate the first two Gegenbauer coefficients for twist-3 distribution amplitudes of scalar mesons. It is found that the second Gegenbauer coefficients of scalar density twist-3 distribution amplitudes for K-0(*) and f(0) mesons are quite close to that for a(0), which indicates that the SU(3) symmetry breaking effect is tiny here. However, this effect could not be neglected for the forth Gegenbauer coefficients of scalar twist-3 distribution amplitudes between a(0) and f(0). Besides, we also observe that the first two Gegenbauer coefficients corresponding to the tensor current twist-3 distribution amplitudes for all the a(0), K-0(*) and f(0) are very small. The renormalization group evolution of condensates, quark masses, decay constants and moments are considered in our calculations. As a by-product, it is found that the masses for isospin I=1, 1/2 scalar mesons are around 1.27 similar to 1.41 GeV and 1.44 similar to 1.56 GeV respectively, while the mass for isospin state composed of (s) over bars is 1.62 similar to 1.73 GeV.