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Exotics in the π D system

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arxiv 2111.15544 v2 pith:YZ4DZJ7S submitted 2021-11-30 hep-lat hep-ph

Exotics in the π D system

classification hep-lat hep-ph
keywords statesquark-antiquarkrepresentationsuggestsappearappearsbosonsbound
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this proceedings we consider several states, namely the $D^*_{s0}(2317)$, $D_{s1}(2460)$, $D^*_{0}(2300)$ and $D_{1}(2430)$, which appear to defy description as simple quark-antiquark pairs. Theoretical input from unitarized chiral perturbation theory suggests they can be understood as emerging from Goldstone-Boson--$D$-meson scattering. We present results from an $SU(3)$ flavor-symmetric lattice QCD simulation at large pion masses suggesting that there exists a $\pi D$ bound state in the flavor-sextet representation that cannot emerge for quark-antiquark states, but that appears naturally from the multiquark states. Moreover, we find repulsion in the [15] representation, which establishes the pattern predicted for the interactions of Goldstone bosons with $D$ mesons. This suggests these states may have the structure of hadronic molecules.

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