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

Fuente: arXiv
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Autores principales: Shi, Pan-Pan, Gil-Domínguez, F., Molina, R., Du, Meng-Lin
Formato: Preprint
Publicado: 2024
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author Shi, Pan-Pan
Gil-Domínguez, F.
Molina, R.
Du, Meng-Lin
author_facet Shi, Pan-Pan
Gil-Domínguez, F.
Molina, R.
Du, Meng-Lin
contents 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 $Γ=18$ 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 $D\bar K π$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$.
format Preprint
id arxiv_https___arxiv_org_abs_2408_01197
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system
Shi, Pan-Pan
Gil-Domínguez, F.
Molina, R.
Du, Meng-Lin
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
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 $Γ=18$ 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 $D\bar K π$ three-body dynamics due to the on-shell pion exchange and the finite decay width for $\bar K^*$.
title Pole analysis for the $D^{*}\bar K$-$D\bar{K^*}$ coupled-channel system
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
url https://arxiv.org/abs/2408.01197