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The $X_0(2900)$ and its heavy quark spin partners in molecular picture

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arxiv 2008.06894 v3 pith:SPK4JBQ6 submitted 2020-08-16 hep-ph

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

The $X_0(2900)$ observed by the LHCb Collaboration recently in the $D^-K^+$ invariant mass of the $B^+\to D^+D^-K^+$ process is the first exotic candidate with four different flavors, which opens a new era for the hadron community. Under the assumption that the $X_0(2900)$ is a $I(J^P)=0(0^+)$ $\bar{D}^*K^*$ hadronic molecule, we extract the whole heavy-quark symmetry multiplet formed by the $\left(\bar{D},\bar{D}^*\right)$ doublet and the $K^*$ meson. For the bound state case, there would be two additional $I(J^P)=0(1^+)$ hadronic molecules associated with the $\bar{D}K^*$ and $\bar{D}^*K^*$ channels as well as one additional $I(J^P)=0(2^+)$ $\bar{D}^*K^*$ molecule. In the light quark limit, they are $36.66~\mathrm{MeV}$ and $34.22~\mathrm{MeV}$ below the $\bar{D}K^*$ and $\bar{D}^*K^*$ thresholds, respectively, which are unambiguously fixed by the mass position of the $X_0(2900)$. For the virtual state case, there would be one additional $I(J^P)=0(1^+)$ hadronic molecule strongly coupling to the $\bar{D}K^*$ channel and one additional $I(J^P)=0(2^+)$ $\bar{D}^*K^*$ molecule. Searching for these heavy quark spin partners will help shed light on the nature of the $X_0(2900)$.

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Cited by 1 Pith paper

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  1. Diffusion Monte Carlo calculation of compact $T_{cs0}$ and $T_{c\bar{s}0}$ tetraquarks

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A constituent quark model with diffusion Monte Carlo identifies the LHCb Tcs0(2870) and Tcbar_s0(2900) as compact, excited flavor states with I=1, and predicts lower-mass ground flavor partners.

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