Kinematical Cusp and Resonance Interpretations of the $X(2900)$

Abstract

We examine whether the LHCb vector $ud\bar{c}\bar{s}$ state $X(2900)$ can be interpreted as a kinematical cusp effect arising from ${\bar{D}}^{\ast }{K}^{\ast }$ and ${\bar{D}}_1{K}^{\ast }$ interactions. The production amplitude is modelled as a triangle diagram with hadronic final state interactions. A satisfactory fit to the Dalitz plot projection is obtained that leverages the singularities of the production diagram without the need for $\bar{D}K$ resonances. A somewhat better fit is obtained if the final state interactions are strong enough to generate resonances, although the evidence in favour of this scenario is not conclusive.

arXiv comment10 pages, 3 figures. Version to appear in Physics Letters B

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Cited by in corpus (31)

• An updated review of the new hadron states
• Tetra- and penta-quark structures in the constituent quark model
• A study of the decays of $S-$wave ${\bar{D}}^{\ast }{K}^{\ast }$ hadronic molecules: the scalar $X_0(2900)$ and its spin partners $X_{J(J=1,2)}$
• Mass spectrum and strong decays of tetraquark $\bar{c}\bar{s}qq$ states
• Solving relativistic three-body integral equations in the presence of bound states
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• How to understand the $X(2900)$?
• Spectroscopy behavior of fully heavy tetraquarks
• The $\mathbf{sQ}\bar{\mathbf{q}}\bar{\mathbf{q}}$ $(\mathbf{q}=\mathbf{u},\mathbf{d};\mathbf{Q}=\mathbf{c},\mathbf{b})$ tetraquarks in the chiral quark model
• Charmed-strange tetraquarks and their decays in a potential quark model
• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity
• Experimental constraints on the properties of $P_c$ states
• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$
• 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 $T_{c\bar{s}}^a(2900)$
• Analysis of the $T_{c\bar{s}}(2900)$ and related tetraquark states with the QCD sum rules
• X(2900) in a chiral quark model
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• The ${\bar{B}}^0\to D^{\ast +}{\bar{D}}^{\ast 0}{K}^{-}$ reaction to detect the $I=0,J^P=1^{+}$ partner of the $X_0(2866)$
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Prediction of possible $D{K}_1$ bound states
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Looking for the exotic $X_0(2866)$ and its $J^P=1^{+}$ partner in the ${\bar{B}}^0\to D^{(\ast )+}{K}^{-}{K}^{(\ast )0}$ reactions
• Searching for $X_0(2900)$ and $X_1(2900)$ through the kaon induced reactions
• Method to observe the $J^P=2^{+}$ partner of the $X_0(2866)$ in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ reaction
• New $X_{0,1}(2900)$-like exotic states in $b$-baryon decays
• Exotic molecular meson states of $B^{(\ast )}{K}^{(\ast )}$ nature
• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Tetraquark mass relations in quark and diquark models
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks