Production of open-charm pentaquark molecules in decay $B^0 \rightarrow \bar{D}^0 p \bar{p}$

Abstract

This study explores the production of open-charm pentaquark molecular states, specifically $N\bar{D}^*$ and $\bar{N}\bar{D}^*$, within the $B^0 \rightarrow \bar{D}^0 p \bar{p}$ decay process. We analyze the invariant mass spectrum of $p\bar{D}^0$ and $\bar{p}\bar{D}^0$, incorporating the rescattering process calculated using a quasipotential Bethe-Salpeter equation approach. Our findings suggest the potential identification of the isoscalar $\bar{N}\bar{D}^*$ molecule with $3/2^+$, serving as the antiparticle partner of the $\Lambda_c(2940)$, in the $\bar{p}\bar{D}^0$ mass distribution. Additionally, distinctive signals of the isovector $N\bar{D}^*$ molecule with $1/2^-$ may emerge in the $p\bar{D}^0$ invariant mass distribution. We highlight the significance of the three-body decay of the bottom meson as a valuable avenue for studying open-charm molecules and advocate for increased attention and more precise experimental measurements of the $B^0 \rightarrow \bar{D}^0 p \bar{p}$ process.Comment: 8 pages, 3 figure