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$NDK$, $\bar{K} DN$ and $ND\bar{D}$ molecules

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arxiv 1106.0459 v3 pith:QJBMG5MU submitted 2011-06-02 hep-ph

classification hep-ph
keywords clustergeneratescatteringboundinvestigateknownmademeson
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate theoretically baryon systems made of three hadrons which contain one nucleon and one D meson, and in addition another meson, $\bar{D}, K$ or $\bar{K}$. The systems are studied using the Fixed Center Approximation to the Faddeev equations. The study is made assuming scattering of a $K$ or a $\bar{K}$ on a $DN$ cluster, which is known to generate the $\Lambda_c(2595)$, or the scattering of a nucleon on the $D\bar{D}$ cluster, which has been shown to generate a hidden charm resonance named X(3700). We also investigate the configuration of scattering of $N$ on the $KD$ cluster, which is known to generate the $D_{s0}^*(2317)$. In all cases we find bound states, with the $NDK$ system, of exotic nature, more bound than the $\bar{K} DN$.

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Cited by 2 Pith papers

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  1. Implication of the existence of $J^{PC}=0^{--}$ $\bar{D}_sDK$ bound state on nature of $D_{s0}^*(2317)$ and new configuration of exotic state

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A J^PC = 0^-- anti-D_s D K three-meson bound state, X(4310), is predicted and shown to be searchable in B+ -> D*± D∓ K+ decays at LHCb.

  2. Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$

    hep-ph 2025-08 conditional novelty 5.0 of 10

    The neutron-D_{s1}(2460) and neutron-D_{s1}(2536) systems are predicted to have bound states, with correlation functions sensitive to the molecular structure of the D_{s1} mesons.

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