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arXiv · 2408.01197

Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system

Pan-Pan Shi·F. Gil-Domínguez·R. Molina·Meng-Lin Du
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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 $\Gamma=18$ 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 $D\bar K \pi$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$.

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Pan-Pan Shi, F. Gil-Domínguez, R. Molina, Meng-Lin Du. 2024-08-02. Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system. https://doi.org/10.1016/j.physletb.2025.139699

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