Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?

Abstract

We investigate properties of the ground-state and first radially excited four-quark mesons $X_0$ and $X_0^{\prime }$ with a diquark-antidiquark structure $[ud][\overline{c}\overline{s}]$ and spin-parities $J^{\mathrm{P}}=0^{+}$. Our aim is to reveal whether or not one of these states can be identified with the resonance $X_0(2900)$, recently discovered by the LHCb collaboration. We model $X_0$ and $X_0^{\prime }$ as tetraquarks composed of either axial-vector or scalar diquark and antidiquark pairs. Their spectroscopic parameters are computed by employing the QCD two-point sum rule method and including into analysis vacuum condensates up to dimension $15$. For an axial-axial structure of $X_0^{(\prime )}$, we find partial widths of the decays $X_0^{(\prime )}\to D^{-}{K}^{+}$ and $X_0^{(\prime )}\to D^0{K}^0$, and estimate full widths of the states $X_0^{(\prime )}$. To this end, we calculate the strong couplings at the vertices $X_0^{(\prime )}DK$ in the framework of the light-cone sum rule method. We use also technical approaches of the soft-meson approximation necessary to analyze tetraquark-meson-meson vertices. Obtained results $m=(2545\pm 160)\mathrm{MeV}$ and $m^{\prime }=(3320\pm 120)\mathrm{MeV}$ [$m_{\mathrm{S}}=(2663\pm 110)\mathrm{MeV}$ and $m_{\mathrm{S}}^{\prime }=(3325\pm 85)\mathrm{MeV}$ for a scalar-scalar current] for the masses of the particles $X_0$ and $X_0^{\prime }$, as well as estimates for their full widths ${\Gamma }_0=(140\pm 29)\mathrm{MeV}$ and ${\Gamma }_0^{\prime }=(110\pm 25)\mathrm{MeV}$ allow us to interpret none of them as the resonance $X_0(2900)$ . At the same time, these predictions provide important information about ground-state and radially excited diquark-antidiquark structures $X_0$ and $X_0^{\prime }$, which should be objects of future experimental and theoretical studies.

13 Pages, 4 Figures and 2 Tables

References in corpus (28)

• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Four-quark exotic mesons
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• $X_0(2900)$ and $X_1(2900)$: hadronic molecules or compact tetraquarks
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• Triangle singularity as the origin of $X_0(2900)$ and $X_1(2900)$ observed in $B^{+}\to D^{+}{D}^{-}{K}^{+}$
• 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
• First exotic hadron with open heavy flavor: $cs\bar{u}\bar{d}$ tetraquark
• Open charm and bottom tetraquarks in an extended relativized 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 $X_{J(J=1,2)}$
• 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
• 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
• An open charm tetraquark candidate: note on $X_0(2900)$
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• Discriminating among interpretations for the $X(2900)$ states
• Branching fractions of $B^{-}\to D^{-}{X}_{0,1}(2900)$ and their implications
• 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
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• Vector resonance $X_1(2900)$ and its structure
• $X_J(2900)$ states in a hot hadronic medium
• Prediction of possible $D{K}_1$ bound states
• Charge asymmetry in decays $B\to D\bar{D}K$

Cited by in corpus (8)

• Charmed-strange tetraquarks and their decays in a potential quark model
• On the structures of new scalar resonances $T_{cs0}^a(2900{)}^{++}$ and $T_{cs0}^a(2900{)}^0$
• Modeling the resonance $T_{cs0}^a(2900{)}^{++}$ as a hadronic molecule $D^{\ast +}{K}^{\ast +}$
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Possible Molecular Explanation for the Resonance $Y(4500)$
• Exotic hadrons associated with $b$-quark