Molecular picture for $X_0(2900)$ and $X_1(2900)$

Abstract

Inspired by the newly observed $X_0(2900)$ and $X_1(2900)$ at LHCb, the $K^{\ast }{\bar{D}}^{\ast }$ and $K{\bar{D}}_1$ interactions are studied in the quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. The bound and virtual states from the interactions are searched for as the poles in the complex energy plane of scattering amplitude. A bound state with $I(J^P)=0(0^{+})$ and a virtual state with $0(1^{-})$ are produced from the $K^{\ast }{\bar{D}}^{\ast }$ interaction and $K{\bar{D}}_1$ interaction, and can be related to the $X_0(2900)$ and $X_1(2900)$ observed at LHCb, respectively. A bound state with $I(J^P)=0(1^{+})$ and a virtual state with $I(J^P)=0(2^{+})$ are also predicted from the $K^{\ast }{\bar{D}}^{\ast }$ interaction with a small $\alpha$ value, which can be searched in future experiments.

arXiv comment5 pages, 2 figures; more discussions added; typos corrected

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Cited by in corpus (24)

• An updated review of the new hadron states
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
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• Mass spectra and decays of open-heavy tetraquark states
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
• Possible molecular states of ${\bar{D}}^{\ast }{K}^{\ast }$ ($D^{\ast }{K}^{\ast }$) and the new exotic states $X_0(2900)$ and $X_1(2900)$ ($T_{cs0}^a(2900{)}^0$ and $T_{cs0}^a(2900{)}^{++}$)
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Color flux-tube nature of the states $T_{cs}(2900)$ and $T_{c\bar{s}}^a(2900)$
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Searching for $X_0(2900)$ and $X_1(2900)$ through the kaon induced reactions
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
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