Phys. Rev. D 110, 054043 (2024)

We start from a recently favored picture in which the ${\mathrm{\Lambda }}_c(2940)$ and ${\mathrm{\Lambda }}_c(2910)$ correspond mostly to $N{D}^{*}$ bound states with $J^P=1/2^{-},3/2^{-}$ respectively, and then add a $D$ as a third particle, looking for the possible binding of the $DN{D}^{*}$ three-body system within the framework of the fixed center approximation. We find that the system is bound with respect to the corresponding ${\mathrm{\Lambda }}_c(2940)D$, ${\mathrm{\Lambda }}_c(2910)D$ thresholds with a binding of about 60 MeV and a width of about 90 MeV. Alternatively we assume a cluster of $ND$ and a $D^{*}$ meson interacting with the cluster, and we find similar results. The observation of these states of $J^P=1/2^{+},3/2^{+}$ would provide new and valuable information concerning the $DN$ and $D^{*}N$ interaction, an issue of current debate.

• Received 22 May 2024
• Accepted 23 July 2024

DOI:https://doi.org/10.1103/PhysRevD.110.054043

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Published by the American Physical Society