Flavor $SU(3)$ properties of beauty tetraquark states with three different light quarks

Abstract

Beauty tetraquark states $X(\bar{b}{q}^{\prime }{q}^{\prime \prime }\bar{q})$ composed of $\bar{b}su\bar{d}$, $\bar{b}ds\bar{u}$, and $\bar{b}ud\bar{s}$, are unique that all the four valence quarks are different. Although the claim of existence of the first two states by D0 was not confirmed by data from LHCb, the possibility of such states still generated a lot of interests and should be pursued further. Non-observation of $X(\bar{b}{q}^{\prime }{q}^{\prime \prime }\bar{q})$ states by LHCb may be just due to a still lower production rate than the limit of LHCb or at some different mass ranges. In this work we use light quark $SU(3)$ flavor symmetry as guideline to classify symmetry properties of beauty tetraquark states. The multiplets which contain states with three different light quarks must be one of $\bar{6}$ or $15$ of $SU(3)$ representations. We study possible decays of such a tetraquark state into a $B$ meson and a light pesudoscalar octet meson by constructing a leading order chiral Lagrangian, and also provide search strategies to determine whether a given tetraquark state of this type belongs to $\bar{6}$ or $15$. If $X(\bar{b}{q}^{\prime }{q}^{\prime \prime }\bar{q})$ belongs to $15$, there are new doubly charged tetraquark states $\bar{b}uu\bar{d}$ and $\bar{b}uu\bar{s}$.

arXiv commentRevTex, 14 pages. Title changed and contents expanded

References in corpus (6)

• Big-Bang Nucleosynthesis
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Diquarks and Exotic Spectroscopy
• Effective Field Theories
• Could the observation of $X(5568)$ be resulted by the near threshold rescattering effects?
• XYZ Meson Spectroscopy

Cited by in corpus (19)

• A review of the open charm and open bottom systems
• Exotic Hadrons from Heavy Ion Collisions
• Heavy-flavored tetraquark states with the $QQ\bar{Q}\bar{Q}$ configuration
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• 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
• Tetraquark States with Open Flavors
• Triply heavy tetraquark states with the $QQ\bar{Q}\bar{q}$ configuration
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states
• Masses of open charm and bottom tetraquark states in a relativized quark model
• Where does the X(5568) structure come from?
• The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario
• Large production rate of new $B_s^0{\pi }^{\pm }$ and $D_s^{\pm }{\pi }^{\pm }$ states in high energy multi-production process
• Production of Charmed Tetraquarks from $B_c$ and $B$ decays
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• 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
• X, Y and Z States