Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system
arXiv:2408.01197 · doi:10.1016/j.physletb.2025.139699
Abstract
By solving the Lippmann-Schwinger equation, possible hadronic molecules in the $D^*\bar K$-$D\bar K^*$ coupled-channel system are investigated with the one-meson exchange potentials, where both vector and pseudoscalar mesons are considered as exchange particles. We find an S-wave virtual state with mass $M=2487$ MeV, and a resonance with $M=2759$ and width $Î=18$ MeV. In the $D^* \bar K$ invariant mass distribution, the virtual state appears as a cusp at the $D^*\bar K$ threshold, while the resonance potentially manifests as a dip. In particular, we take into account the $D\bar K Ï$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$.
22 pages, 2 figures. Version to appear in Phys. Lett. B