Eur. Phys. J. C (2024) 84: 985
https://doi.org/10.1140/epjc/s10052-024-13366-5

Regular Article - Theoretical Physics

$X_0(2900)$ and its spin partners productions in the $B^{+}$ decay processes

¹ School of Physics, Southeast University, 210094, Nanjing, China
² Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Xinxiang, China
³ Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China

^c chendy@seu.edu.cn

Received: 12 July 2024
Accepted: 12 September 2024
Published online: 27 September 2024

Abstract

In the present work, we investigate the productions of $X_0(2900)$ and its spin partners in the $B^{+}$ decay processes, where $X_0(2900)$ is regarded as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecular state. We infer that the initial $B^{+}$ meson and the final $D^{+}{X}_0(2900)$ are connected through the $D_{s1}^{\prime +}(2460){\overline{D}}^{\ast 0}$ mesons by exchanging a $K_{}^{\ast 0}$ meson. The contributions of such a meson loop to the process $B^{+}\to D^{+}{X}_0(2900)$ are evaluated and our estimations indicate that the measured branching fraction of $B^{+}\to D^{+}{X}_0(2900)$ could be well reproduced in a reasonable range of model parameters, indicating that $X_0(2900)$ could be interpreted as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecular state. In addition, the production processes $B^{+}\to D^{+}{\tilde{X}}_{1,2}$, $B^{+}\to D_{}^{\ast +}{X}_0(2900)$, and $B^{+}\to D_{}^{\ast +}{\tilde{X}}_{1,2}$ are investigated, and we find that the fit fraction of ${\tilde{X}}_1$ in the process $B^{+}\to D_{}^{\ast +}D_{}^{\ast -}{K}^{+}$ is about 6%, which should be accessible by the LHCb and Belle II Collaborations.