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

Abstract

In the present work, we investigate $X_0(2900)$ and its spin partners productions in the $B^{+}$ decay processes, where $X_0(2900)$ is regarded as a ${\bar{D}}^{\ast }{K}^{\ast }$ molecular state. We infer that the initial $B^{+}$ meson and the final $D^{+}{X}_0(2900)$ are connected through $D_{s1}^{+}(2460){\bar{D}}^{\ast 0}$ mesons by exchanging a $K^{\ast 0}$ meson. The contributions from 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 model parameter range, which indicates that $X_0(2900)$ could be interpreted as a ${\bar{D}}^{\ast }{K}^{\ast }$ 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 aobut $6\%$, which should be accessible experimentally.