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

Abstract

This study investigates the production of open-charm pentaquark molecular states, specifically $N{\bar{D}}^{\ast }$ and $\bar{N}{\bar{D}}^{\ast }$, within the $B^0\to {\bar{D}}^{0}p\bar{p}$ decay. We examine the invariant mass spectra of $p{\bar{D}}^0$ and $\bar{p}{\bar{D}}^0$, incorporating the rescattering process through a quasipotential Bethe-Salpeter equation approach. Our findings suggest the possible identification of the isoscalar $\bar{N}{\bar{D}}^{\ast }$ molecule with $3/2^{+}$ as the antiparticle partner of ${\Lambda }_c(2940)$ in the $\bar{p}{\bar{D}}^0$ mass spectrum. Although a molecular state near the $\bar{N}\bar{D}$ threshold with $1/2^{-}$ exists, its signal is weak, indicating that the $B^0\to {\bar{D}}^{0}p\bar{p}$ decay may not be ideal for its detection. A distinct signal of the isovector $N{\bar{D}}^{\ast }$ molecule with $1/2^{-}$ may appear in the $p{\bar{D}}^0$ invariant mass spectrum, while the signal for the $3/2^{-}$ state remains very weak. We emphasize the importance of the three-body decay of the bottom meson as a valuable method for studying open-charm molecules and advocate for increased attention and more precise experimental measurements of the $B^0\to {\bar{D}}^{0}p\bar{p}$ decay.

Comments: 11 pages, 6 figures, published version