Modeling the resonance $T_{cs0}^a(2900{)}^{++}$ as a hadronic molecule $D^{\ast +}{K}^{\ast +}$

Abstract

The doubly charged scalar resonance $T_{cs0}^a(2900{)}^{++}$ is studied in the context of the hadronic molecule model. We consider $T_{cs0}^a(2900{)}^{++}$ as a molecule $M=D^{\ast +}{K}^{\ast +}$ composed of vector mesons, and calculate its mass, current coupling and full width. The spectroscopic parameters of $M$, i.e., its mass and current coupling, are found by means of the QCD two-point sum rule method by taking into account vacuum expectation values of quark, gluon and mixed operators up to dimension $10$. The width of the molecule $M$ is evaluated through the calculations of the partial widths of the decay channels $M\to D_s^{+}{\pi }^{+}$, $M\to D_s^{\ast +}{\rho }^{+}$, and $M\to D^{\ast +}{K}^{\ast +}$. Partial widths of these processes are determined by strong couplings $g_1$, $g_2$, and $g_3$ of particles at vertices $M{D}_s^{+}{\pi }^{+}$, $M{D}_s^{\ast +}{\rho }^{+}$, and $M{D}^{\ast +}{K}^{\ast +}$ , respectively. We calculate the couplings $g_i$ by employing the QCD light-cone sum rule approach and technical tools of the soft-meson approximation. Predictions obtained for the mass $m=(2924\pm 107)\mathrm{MeV}$ and width $\Gamma =(123\pm 25)\mathrm{MeV}$ of the hadronic molecule $M$ allow us to consider it as a possible candidate of the resonance $T_{cs0}^a(2900{)}^{++}$.

arXiv comment12 Pages, 3 Figures and 1 Table

References in corpus (46)

• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Evidence for exotic hadron contributions to ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ 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
• Strong $Z_c^{+}(3900)\to J/\psi {\pi }^{+};{\eta }_c{\rho }^{+}$ decays in QCD
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• Strong decays of ${\bar{D}}^{\ast }{K}^{\ast }$ molecules and the newly observed $X_{0,1}$ states
• Analysis of the $X_0(2900)$ as the scalar tetraquark state via the QCD sum rules
• Triangle singularity as the origin of $X_0(2900)$ and $X_1(2900)$ observed in $B^{+}\to D^{+}{D}^{-}{K}^{+}$
• First exotic hadron with open heavy flavor: $cs\bar{u}\bar{d}$ tetraquark
• Open charm and bottom tetraquarks in an extended relativized quark model
• Decoding the $X(5568)$ as a fully open-flavor $su\bar{b}\bar{d}$ tetraquark state
• 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 $X_0(2900)$
• How to understand the $X(2900)$?
• Charmed partner of the exotic $X(5568)$ state and its properties
• Discriminating among interpretations for the $X(2900)$ states
• Branching fractions of $B^{-}\to D^{-}{X}_{0,1}(2900)$ and their implications
• Exotic ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular states and $sc\bar{q}\bar{c}$ tetraquark states with $J^P=0^{+},1^{+},2^{+}$
• 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
• Study of the $X^{\pm }(5568)$ state with semileptonic decays of the $B_s^0$ meson
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Application of the QCD light cone sum rule to tetraquarks: the strong vertices $X_b{X}_b\rho$ and $X_c{X}_c\rho$
• On the structures of new scalar resonances $T_{cs0}^a(2900{)}^{++}$ and $T_{cs0}^a(2900{)}^0$
• Vector resonance $X_1(2900)$ and its structure
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
• $X_J(2900)$ states in a hot hadronic medium
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Color flux-tube nature of the states $T_{cs}(2900)$ and $T_{c\bar{s}}^a(2900)$
• Testing the doubly charged charm-strange tetraquarks
• Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects
• Diagrammatic analysis of hidden- and open-charm tetraquark production in $B$ decays
• Prediction of possible $D{K}_1$ bound states
• Resonance $X(4630)$
• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Charge asymmetry in decays $B\to D\bar{D}K$
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$

Cited by in corpus (7)

• 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
• Exotic Hadrons at LHCb
• Study of $D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-}$ in $B\to {\bar{D}}^{(\ast )}{D}_s^{+}{\pi }^{+}{\pi }^{-}$ decays
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Finding a clean process $B^{-}\to K^{-}{D}^0{K}^0$ to probe absolutely exotic four-quark states
• Exotic hadrons associated with $b$-quark