Strong decays of ${\bar{D}}^{\ast }{K}^{\ast }$ molecules and the newly observed $X_{0,1}$ states

Abstract

Lately, the LHCb Collaboration reported the discovery of two new states in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay, i.e., $X_0(2866)$ and $X_1(2904)$. In the present work, we study whether these states can be understood as $D^{\ast }{\bar{K}}^{\ast }$ molecules from the perspective of their two-body strong decays into $D^{-}{K}^{+}$ via triangle diagrams and three-body decays into $D^{\ast }\bar{K}\pi$. The coupling of the two states to $D^{\ast }{\bar{K}}^{\ast }$ are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $X_0(2866)$, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $D^{\ast }{\bar{K}}^{\ast }$ component in its wave function. On the other hand, the strong decay width for the $X_1(2904)$, much smaller than its experimental counterpart, effectively rules out its assignment as a $D^{\ast }{\bar{K}}^{\ast }$ molecule.

5 pages, 2 figures

References in corpus (4)

• Pentaquark and Tetraquark states
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• D* K molecular structure of the Ds1(2460) meson
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states

Cited by in corpus (49)

• An updated review of the new hadron states
• Tetra- and penta-quark structures in the constituent quark model
• Hadronic molecules in B decays
• 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
• Mass spectrum and strong decays of tetraquark $\bar{c}\bar{s}qq$ states
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• New scalar resonance $X_0(2900)$ as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecule: Mass and width
• 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
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• Tetraquarks with open charm favor
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Charmed-strange tetraquarks and their decays in a potential quark model
• On the structures of new scalar resonances $T_{cs0}^a(2900{)}^{++}$ and $T_{cs0}^a(2900{)}^0$
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
• Vector resonance $X_1(2900)$ and its structure
• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$
• 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
• 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
• 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
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Studying the ${\bar{D}}_{1}K$ molecule in the Bethe-Salpeter equation approach
• 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
• 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
• Method to observe the $J^P=2^{+}$ partner of the $X_0(2866)$ in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ reaction
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Charge asymmetry in decays $B\to D\bar{D}K$
• Possible open charm molecular pentaquarks from ${\Lambda }_c{K}^{(\ast )}/{\Sigma }_c{K}^{(\ast )}$ interactions
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Exotic molecular meson states of $B^{(\ast )}{K}^{(\ast )}$ nature
• Possible charmed-strange molecular dibaryons
• Possible molecular dibaryons with $csssqq$ quarks and their baryon-antibaryon partners
• 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
• Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Exotic hadrons associated with $b$-quark
• Investigation of $T_{cs0}^{\ast }(2870{)}^0$ in $pp$ collisions at $\sqrt{s}$ = 7 TeV with the PACIAE model