Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$

Abstract

Motivated by the LHCb observation of exotic states $X_{0,1}(2900)$ with four open quark flavors in the $D^{-}{K}^{+}$ invariant mass distribution in the decay channel $B^{\pm }\to D^{+}{D}^{-}{K}^{\pm }$, we study the spectrum and decay properties of the open charm tetraquarks. Using the two-body chromomagnetic interactions, we find that the two newly observed states can be interpreted as a radial excited tetraquark with $J^P=0^{+}$ and an orbitally excited tetraquark with $J^P=1^{-}$, respectively. We then explore the mass and decays of the other flavor-open tetraquarks made of $su\bar{d}\bar{c}$ and $ds\bar{u}\bar{c}$, which are in the $\bar{6}$ or $15$ representation of the flavor SU(3) group. We point that these two states can be found through the decays: $X_{ds\bar{u}\bar{c}}^{(\prime )}\to (D^{-}{K}^{-},D_s^{-}{\pi }^{-})$, and $X_{su\bar{d}\bar{c}}^{(\prime )}\to D_s^{-}{\pi }^{+}$. We also apply our analysis to open bottom tetraquark $X_b$ and predict their masses. The open-flavored $X_b$ can be discovered through the following decays: $X_{ud\bar{s}\bar{b}}\to B^0{K}^{+}$, $X_{ds\bar{u}\bar{b}}^{(\prime )}\to (B^0{K}^{-},B_s^0{\pi }^{-})$, and $X_{su\bar{d}\bar{b}}^{(\prime )}\to B_s^0{\pi }^{+}$.

arXiv comment9 pages, 4 tables; the published version

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• An updated review of the new hadron states
• Tetra- and penta-quark structures in the constituent quark model
• First observation of a doubly charged tetraquark and its neutral partner
• Hadronic molecules in B decays
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• A study of the decays of $S-$wave ${\bar{D}}^{\ast }{K}^{\ast }$ hadronic molecules: the scalar $X_0(2900)$ and its spin partners $X_{J(J=1,2)}$
• The $X_0(2900)$ and its heavy quark spin partners in molecular picture
• $X_{0,1}$(2900) and $(D^{-}{K}^{+})$ invariant mass from QCD Laplace sum rules at NLO
• Amplitude analysis of $B^0\to {\overline{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ decays
• Mass spectrum and strong decays of tetraquark $\bar{c}\bar{s}qq$ states
• New scalar resonance $X_0(2900)$ as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecule: Mass and width
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• How to understand the $X(2900)$?
• Discriminating among interpretations for the $X(2900)$ states
• 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
• Tetraquarks with open charm favor
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Charmed-strange tetraquarks and their decays in a potential quark model
• Mass spectra and decays of open-heavy tetraquark states
• X_1(2900) as a D_1 K molecule
• On the structures of new scalar resonances $T_{cs0}^a(2900{)}^{++}$ and $T_{cs0}^a(2900{)}^0$
• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$
• Vector resonance $X_1(2900)$ and its structure
• $X_J(2900)$ states in a hot hadronic medium
• Modeling the resonance $T_{cs0}^a(2900{)}^{++}$ as a hadronic molecule $D^{\ast +}{K}^{\ast +}$
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Analysis of the $T_{c\bar{s}}(2900)$ and related tetraquark states with the QCD sum rules
• X(2900) in a chiral quark model
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential 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 $X_0(2866)$
• Prediction of possible $D{K}_1$ bound states
• Diagrammatic analysis of hidden- and open-charm tetraquark production in $B$ decays
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Studying the ${\bar{D}}_{1}K$ molecule in the Bethe-Salpeter equation approach
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• 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
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• 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
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Discovery of $T_{c\bar{s}0}^a(2900{)}^{0,++}$ implies new charmed-strange pentaquark system
• Charge asymmetry in decays $B\to D\bar{D}K$
• 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
• Weak-decay searches for $Qs\bar{u}\bar{d}$ tetraquarks
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Observation of the open-charm tetraquark candidate $T_{cs0}^{\ast }(2870{)}^0$ in the $B^{-}\to D^{-}{D}^0{K}_{\mathrm{S}}^0$ decay
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• $D_1(2420)$ and its interactions with a kaon: open charm states with strangeness
• Deflection of charged massive particles by a four-dimensional charged Einstein-Gauss-Bonnet black hole
• Pole analysis for the $D^{\ast }\bar{K}$-$D\overline{K^{\ast }}$ coupled-channel system
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$
• Investigation of $T_{cs0}^{\ast }(2870{)}^0$ in $pp$ collisions at $\sqrt{s}$ = 7 TeV with the PACIAE model
• Exotic hadrons associated with $b$-quark