New scalar resonance $X_0(2900)$ as a ${\overline{D}}^{\ast }{K}^{\ast }$ molecule: Mass and width

Abstract

We explore features of the scalar structure $X_0(2900)$, which is one of the two resonances discovered recently by LHCb in the $D^{-}{K}^{+}$ invariant mass distribution in the decay $B^{+}\to D^{+}{D}^{-}{K}^{+}$. We treat $X_0(2900)$ as a hadronic molecule composed of the conventional mesons ${\overline{D}}^{\ast 0}$ and $K^{\ast 0}$ and calculate its mass, coupling and width. The mass and coupling of $X_0(2900)$ are determined using the QCD two-point sum rule method by taking into account quark, gluon, and mixing vacuum condensates up to dimension $15$. The decay of this structure to final state $D^{-}{K}^{+}$ is investigated in the context of the light-cone sum rule approach supported by a soft-meson technique. To this end, we evaluate strong coupling $G$ corresponding to vertex $X_0{D}^{-}{K}^{+}$, which allows us to find width of the decay $X_0(2900)\to D^{-}{K}^{+}$. Obtained predictions for the mass of the hadronic molecule ${\overline{D}}^{\ast 0}{K}^{\ast 0}$ $m=(2868\pm 198)\mathrm{MeV}$ and for its width $\Gamma =(49.6\pm 9.3)\mathrm{MeV}$ can be considered as arguments in favor of molecule interpretation of $X_0(2900)$.

9 Pages, 1 Figure and 1 Table

References in corpus (14)

• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Four-quark exotic mesons
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
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• $X_0(2900)$ and $X_1(2900)$: hadronic molecules or compact tetraquarks
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• Analysis of the $X_0(2900)$ as the scalar tetraquark state via the QCD sum rules
• Strong decays of ${\bar{D}}^{\ast }{K}^{\ast }$ molecules and the newly observed $X_{0,1}$ states
• Triangle singularity as the origin of $X_0(2900)$ and $X_1(2900)$ observed in $B^{+}\to D^{+}{D}^{-}{K}^{+}$
• The $X_0(2900)$ and its heavy quark spin partners in molecular picture
• Tetraquarks with open charm favor
• Fully-heavy pentaquark states
• Interpretation of excited ${\Omega }_b$ signals

Cited by in corpus (31)

• An updated review of the new hadron states
• Hadronic molecules in B decays
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• Charmed-strange tetraquarks and their decays in a potential quark model
• Mass spectra and decays of open-heavy tetraquark states
• 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
• 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 $T_{cs0}^a(2900{)}^{++}$)
• 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 $T_{c\bar{s}0}^a(2900)$
• 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
• 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
• Possible open charm molecular pentaquarks from ${\Lambda }_c{K}^{(\ast )}/{\Sigma }_c{K}^{(\ast )}$ interactions
• Possible charmed-strange molecular dibaryons
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Possible molecular dibaryons with $csssqq$ quarks and their baryon-antibaryon partners
• 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
• Pole analysis for the $D^{\ast }\bar{K}$-$D\overline{K^{\ast }}$ coupled-channel system
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$
• Exotic hadrons associated with $b$-quark