Spectrum and rearrangement decays of tetraquark states with four different flavors
Jianbo Cheng, Shi-Yuan Li, Yan-Rui Liu, You‐Nian Liu, Zong-Guo Si, Tao Yao
Abstract
We have systematically investigated the mass spectrum and rearrangement decay properties of the exotic tetraquark states with four different flavors using a color-magnetic interaction model. Their masses are estimated by assuming that the $X(4140)$ is a $cs\overline{c}\overline{s}$ tetraquark state and their decay widths are obtained by assuming that the Hamiltonian for decay is a constant. According to the adopted method, we find that the most stable states are probably the isoscalar $bs\overline{u}\overline{d}$ and $cs\overline{u}\overline{d}$ with ${J}^{P}={0}^{+}$ and ${1}^{+}$. The width for most unstable tetraquarks is about tens of MeVs, but that for unstable $cu\overline{s}\overline{d}$ and $cs\overline{u}\overline{d}$ can be around 100 MeV. For the $X(5568)$, our method cannot give consistent mass and width if it is a $bu\overline{s}\overline{d}$ tetraquark state. For the $I({J}^{P})=0({0}^{+}),0({1}^{+})$ double-heavy ${T}_{bc}=bc\overline{u}\overline{d}$ states, their widths can be several MeVs.