Open charm-bottom scalar tetraquarks and their strong decays

Abstract

The mass and meson-current coupling of the diquark-antidiquark states with the quantum numbers $J^P=0^{+}$ and quark contents $Z_q=[cq][\bar{b}\bar{q}]$ and $Z_s=[cs][\bar{b}\bar{s}]$ are calculated using two-point QCD sum rule approach. In calculations the quark, gluon and mixing condensates up to eight dimensions are taken into account. The parameters of the scalar tetraquarks extracted from this analysis are employed to explore the strong vertices $Z_q{B}_c\pi$, $Z_q{B}_c\eta$ and $Z_s{B}_c\eta$ and compute the couplings $g_{Z_q{B}_c\pi }$, $g_{Z_q{B}_c\eta }$ and $g_{Z_s{B}_c\eta }$. The strong couplings are obtained within the soft-meson approximation of QCD light-cone sum rule method: they form, alongside with other parameters, the basis for evaluating the widths of $Z_q\to B_c\pi$, and $Z_s\to B_c\eta$ decays. Obtained in this work results for the mass of the tetraquarks $Z_q$ and $Z_s$ are compared with available predictions presented in the literature.

arXiv comment14 Pages, 11 Figures and 3 Tables

References in corpus (33)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• The hidden-charm pentaquark and tetraquark states
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Mixing and Decay Constants of Pseudoscalar Mesons
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• The New Heavy Mesons: A Status Report
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Charmonium
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• New Charmonium States in QCD Sum Rules: a Concise Review
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• The Exotic XYZ Charmonium-like Mesons
• Four-Quark Hadrons: an Updated Review
• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• Hybrid Mesons
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Search for structure in the $B_s^0{\pi }^{\pm }$ invariant mass spectrum
• Strong $Z_c^{+}(3900)\to J/\psi {\pi }^{+};{\eta }_c{\rho }^{+}$ decays in QCD
• Mass and decay constant of the newly observed exotic $X(5568)$ state
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Exotic open-flavor $bc\bar{q}\bar{q}$, $bc\bar{s}\bar{s}$ and $qc\bar{q}\bar{b}$, $sc\bar{s}\bar{b}$ tetraquark states
• Exotic Heavy Quarkonium Spectroscopy: A Mini-review
• $\{Q\bar{s}\}\{{\bar{Q}}^{{(}^{\prime })}s\}$ molecular states in QCD sum rules
• Width of the exotic $X_b(5568)$ state through its strong decay to $B_s^0{\pi }^{+}$
• Hadronic molecules with both open charm and bottom
• Charmed partner of the exotic $X(5568)$ state and its properties
• $B$ Meson Decay Constants $f_{B_c}$, $f_{B_s}$ and $f_B$ from QCD Sum Rules
• Application of the QCD light cone sum rule to tetraquarks: the strong vertices $X_b{X}_b\rho$ and $X_c{X}_c\rho$
• Exotic B_c-like molecules in QCD Sum Rules
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules

Cited by in corpus (18)

• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• New charged resonance $Z_c^{-}(4100)$: the spectroscopic parameters and width
• Supersymmetry in the Double-Heavy Hadronic Spectrum
• Nature of the vector resonance $Y(2175)$
• Resonance $Y(4660)$ as a vector tetraquark and its strong decay channels
• Open charm-bottom axial-vector tetraquarks and their properties
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Testing the doubly charged charm-strange tetraquarks
• Spectroscopic parameters and decays of the resonance $Z_b(10610)$
• Semileptonic decays of the scalar tetraquark $Z_{bc;\overline{u}\overline{d}}^0$
• Light axial-vector and vector resonances $X(2100)$ and $X(2239)$
• Properties of ${\Sigma }_Q^{\ast }$, ${\Xi }_Q^{\ast }$ and ${\Omega }_Q^{\ast }$ heavy baryons in cold nuclear matter
• Probing an axial-vector tetraquark $Z_s$ via its semileptonic decay $Z_s\to X(4274)\overline{l}{\nu }_l$
• The new $a_1(1420)$ state: structure, mass and width
• $\lambda$ and $\rho$ Regge trajectories for bottom-charm tetraquarks $(bq)(\bar{c}{\bar{q}}^{\prime })$ and $(cq)(\bar{b}{\bar{q}}^{\prime })$
• Prediction of an $I(J^P)=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^{\ast }{B}^{\ast }$ Threshold Using Lattice QCD Potentials