Spectrum of [8][cs̄] ⊗ [8][q q^̄] systems with quantum numbers JP=0^± and 1^±

Inspired by the recent experimental progress on the Tcs̄0ᵃ(2900)0/++, the fully open tetraquark spectrum with the configuration of [8][cs̄] ⊗ [8][q q^̄] is systematically investigated by the QCD sum rules. In this article, we concentrate on the quantum numbers JP=0⁺/0⁻/1⁺/1⁻. Firstly, we construct four scalar currents (JP=0⁺) in the form of [8][cs̄] ⊗ [8][ud̄] type tetraquark structure and perform the analysis of the QCD sum rules, where we consider the leading order contributions up to dimension 11 in the operator product expansion and retain contributions linear in the strange quark mass mₛ. Our results, M_0⁺A = 2.91-0.20+0.20~GeV and M_0⁺C = 2.98-0.21+0.20~GeV, are consistent with the experimentally discovered Tcs̄0ᵃ(2900)⁺⁺ within error margins. Thus, our calculation supports classifying Tcs̄0ᵃ(2900)⁺⁺ as a tetraquark state with the [8][cs̄] ⊗ [8]u d̄ color configuration. Moreover, on the basis of JP=0⁺, we also study tetraquark states with quantum numbers JP=0⁻, 1⁺, and 1⁻, predicting two new hadronic states awaiting experimental verification for each quantum number. Their masses are as follows: M_0⁻A=3.45-0.10+0.12~GeV, M_0⁻D=3.20-0.19+0.17~GeV, M_1⁺A=2.95-0.19+0.19~GeV, M_1⁺C=2.95-0.19+0.19~GeV, M_1⁻A=3.23-0.10+0.11~GeV and M_1⁻D=3.23-0.11+0.09~GeV. With advances in experimental techniques and accumulation of new data, these predicted results are hoped to be confirmed in future experiments.