X₀(2900) and its spin partners productions in the B⁺ decay processes

In the present work, we investigate the productions of X₀(2900) X 0 ( 2900 ) and its spin partners in the B⁺ B + decay processes, where X₀(2900) X 0 ( 2900 ) is regarded as a D̄^*K^* D ¯ ∗ K ∗ molecular state. We infer that the initial B⁺ B + meson and the final D⁺ X₀(2900) D + X 0 ( 2900 ) are connected through the Dₛ₁⁺(2460) D̄*0 D s 1 ′ + ( 2460 ) D ¯ ∗ 0 mesons by exchanging a K*0 K ∗ 0 meson. The contributions of such a meson loop to the process B⁺ → D⁺ X₀(2900) B + → D + X 0 ( 2900 ) are evaluated and our estimations indicate that the measured branching fraction of B⁺→ D⁺ X₀(2900) B + → D + X 0 ( 2900 ) could be well reproduced in a reasonable range of model parameters, indicating that X₀(2900) X 0 ( 2900 ) could be interpreted as a D̄^*K^* D ¯ ∗ K ∗ molecular state. In addition, the production processes B⁺ → D⁺ X̃1,2 B + → D + X ~ 1 , 2 , B⁺ → D*+ X₀(2900) B + → D ∗ + X 0 ( 2900 ) , and B⁺ → D*+X̃1,2 B + → D ∗ + X ~ 1 , 2 are investigated, and we find that the fit fraction of X̃₁ X ~ 1 in the process B⁺ → D*+ D*- K⁺ B + → D ∗ + D ∗ - K + is about 6%, which should be accessible by the LHCb and Belle II Collaborations.