Fully heavy tetraquark resonant states with different flavors

Abstract

We use the quark potential model to calculate the mass spectrum of the S-wave fully heavy tetraquark systems with different flavors, including the $bc\bar{b}\bar{c},bb\bar{c}\bar{c},cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ systems. We employ the Gaussian expansion method to solve the four-body Schrödinger equation, and the complex scaling method to identify resonant states. The $bc\bar{b}\bar{c},bb\bar{c}\bar{c},cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ resonant states are obtained in the mass regions of $(13.2,13.5)$, $(13.3,13.6)$, $(10.0,10.3)$, $(16.5,16.7)$ GeV, respectively. Among these states, the $bc\bar{b}\bar{c}$ tetraquark states are the most promising ones to be discovered in the near future. We recommend the experimental exploration of the $1^{++}$ and $2^{++}$ $bc\bar{b}\bar{c}$ states with masses near $13.3$ GeV in the $J/\psi {\rm Y}$ channel. From the root-mean-square radii, we find that all the resonant states we have identified are compact tetraquark states.

10 pages,7 figures,8 tables. arXiv admin note: text overlap with arXiv:2401.14899

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