X(5568) as a $su\bar{d}\bar{b}$ tetraquark in a simple quark model

Abstract

The $S$-wave eigenstates of tetraquarks of type $su\bar{d}\bar{b}$ with J${}^P$ = 0${}^{+}$, 1${}^{+}$ and 2${}^{+}$ are studied within a simple quark model with chromomagnetic interaction and effective quark masses extracted from meson and baryon spectra. It is tempting to see if this spectrum can accommodate the new narrow structure X(5568), observed by the DØ~~Collaboration, but not confirmed by the LHCb Collaboration. If it exists, such a tetraquark is a system with four different flavors and its study can improve our understanding of multiquark systems. The presently calculated mass of X(5568) agrees quite well with the experimental value of he DØ~~Collaboration. Predictions are made for the spectrum of the charmed partner $su\bar{d}\bar{c}$. However we are aware of the difficulty of extracting effective quark masses, from mesons and baryons, to be used in multiquark systems.

18 pages, 3 figures, it matches the published version in J.Phys.G43,105001. arXiv admin note: text overlap with arXiv:0906.2485

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• Open charm and bottom tetraquarks in an extended relativized quark model
• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Four-quark structure of Zc(3900), Z(4430) and Xb(5568) states
• Search for a Structure in the $B_s^0{\pi }^{\pm }$ Invariant Mass Spectrum with the ATLAS Experiment
• Tetraquark States with Open Flavors
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states
• Triply heavy tetraquark states with the $QQ\bar{Q}\bar{q}$ configuration
• Masses of open charm and bottom tetraquark states in a relativized quark model
• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
• Where does the X(5568) structure come from?
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• searches for ud\bar{s}\bar{b} in the chiral quark model
• Investigating tetraquarks composed of $us\bar{d}\bar{b}$ and $ud\bar{s}\bar{b}$
• Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states
• Study of X(5568) in a unitary coupled-channel approximation of $B\bar{K}$ and $B_s\pi$
• The bottomed strange molecules with isospin 0
• How can $X^{\pm }(5568)$ escape detection?
• Mass Spectrum of Exotic X(5568) State via Artificial Neural Network
• Tetraquark mass relations in quark and diquark models
• X, Y and Z States