Tetraquark state candidates: Y(4140), Y(4274) and X(4350)

In this paper, we tentatively assign the Y(4140), Y(4274) and X(4350) to be the scalar and tensor [Formula: see text] tetraquark states, respectively, and study them with the QCD sum rules. In the operator product expansion, we take into account the vacuum condensates up to dimension-10. In calculations, we use the formula [Formula: see text] to determine the energy scales of the QCD spectral densities. The numerical results favor assigning the Y(4140) to be the JPC = 2++ diquark–antidiquark type tetraquark state, and disfavor assigning the Y(4274) and X(4350) to be the 0++ or 2++ tetraquark states.