Strong decays of $$T^a_{c{\bar{s}0}}(2900)^{++/0}$$ as a fully open-flavor tetraquark state

Abstract

AbstractWe have studied the strong decay properties of the recently observed $$T^a_{c{\bar{s}0}}(2900)^{++/0}$$ T c s ¯ 0 a ( 2900 ) + + / 0 by considering it as a $$cu{\bar{d}}{\bar{s}}/cd{\bar{u}}{\bar{s}}$$ c u d ¯ s ¯ / c d u ¯ s ¯ fully open-flavor tetraquark state with $$I(J^P)=1(0^+)$$ I ( J P ) = 1 ( 0 + ) . In the framework of QCD sum rules, we have calculated the three-point correlation functions of the two-body strong decay processes $$T^a_{c\bar{s}0}(2900)^{++}\rightarrow D_s^+\pi ^+$$ T c s ¯ 0 a ( 2900 ) + + → D s + π + , $$D^+K^+, D_s^{*+}\rho ^+$$ D + K + , D s ∗ + ρ + and $$D_{s1}^+\pi ^+$$ D s 1 + π + . The full width of $$T^a_{c{\bar{s}0}}(2900)^{++/0}$$ T c s ¯ 0 a ( 2900 ) + + / 0 is obtained as $$161.7\pm 94.8$$ 161.7 ± 94.8 MeV, which is consistent with the experimental observation. We predict the relative branching ratios as $$\Gamma (T\rightarrow D_s\pi ): \Gamma (T\rightarrow DK):\Gamma (T\rightarrow D_s^{*} \rho ):\Gamma (T\rightarrow D_{s1}\pi )\approx 1.00:1.10:0.04:0.43$$ Γ ( T → D s π ) : Γ ( T → D K ) : Γ ( T → D s ∗ ρ ) : Γ ( T → D s 1 π ) ≈ 1.00 : 1.10 : 0.04 : 0.43 , implying that the main decay modes of $$T^a_{c{\bar{s}0}}(2900)^{++/0}$$ T c s ¯ 0 a ( 2900 ) + + / 0 state are $$D_s\pi $$ D s π and DK channels in our calculations. However, the P-wave decay mode $$D_{s1}\pi $$ D s 1 π is also comparable and important by including the uncertainties. To further identify the nature of $$T^a_{c\bar{s}0}(2900)^{++/0}$$ T c s ¯ 0 a ( 2900 ) + + / 0 , we suggest confirming them in the DK and $$D_{s}\pi $$ D s π final states, and measuring the above ratios in future experiments.