Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$

Abstract

Motivated by the LHCb observation of exotic states $X_{0,1}(2900)$ with four open quark flavors in the $D^{-}{K}^{+}$ invariant mass distribution in the decay channel $B^{\pm }\to D^{+}{D}^{-}{K}^{\pm }$, we study the spectrum and decay properties of the open charm tetraquarks. Using the two-body chromomagnetic interactions, we find that the two newly observed states can be interpreted as a radial excited tetraquark with $J^P=0^{+}$ and an orbitally excited tetraquark with $J^P=1^{-}$, respectively. We then explore the mass and decays of the other flavor-open tetraquarks made of $su\bar{d}\bar{c}$ and $ds\bar{u}\bar{c}$, which are in the $\bar{6}$ or $15$ representation of the flavor SU(3) group. We point that these two states can be found through the decays: $X_{ds\bar{u}\bar{c}}^{(\prime )}\to (D^{-}{K}^{-},D_s^{-}{\pi }^{-})$, and $X_{su\bar{d}\bar{c}}^{(\prime )}\to D_s^{-}{\pi }^{+}$. We also apply our analysis to open bottom tetraquark $X_b$ and predict their masses. The open-flavored $X_b$ can be discovered through the following decays: $X_{ud\bar{s}\bar{b}}\to B^0{K}^{+}$, $X_{ds\bar{u}\bar{b}}^{(\prime )}\to (B^0{K}^{-},B_s^0{\pi }^{-})$, and $X_{su\bar{d}\bar{b}}^{(\prime )}\to B_s^0{\pi }^{+}$.

Comments: 9 pages, 4 tables; the published version