Spectroscopic study of exotic fully-heavy tetraquark states QQQ̄Q̄ (Q∈{c,b})

In this article, we utilize the non-relativistic potential model to investigate the mass spectra of exotic fully-heavy tetraquark states $QQ\bar{Q}\bar{Q}$ ($Q\in \{c,b\}$), specifically examining $\left[cc\right]\left[\bar{c}\bar{c}\right]$ and $\left[bb\right]\left[\bar{b}\bar{b}\right]$.We treat these states as diquark–antidiquark bound systems governed by a diquark–antidiquark color Coulomb plus confining linear potential.To determine the masses of the ground state and its radially and orbitally excited states for fully-heavy tetraquark states, we incorporate perturbative spin–spin, spin–orbit and spin–tensor interaction potentials.Our results of masses of $nS$, $nP$ and $nD$ states of fully heavy tetraquark states are compared with both other theoretical predictions and experimental data.Remarkably, our results closely align with theoretical as well as experimental observations.Furthermore, our findings also support the assignment of $J^{PC}$ quantum numbers to the recently observed structures by ATLAS, LHCb and CMS collaborations, including $X\left(6600\right)$, $X\left(6900\right)$ and $X\left(7200\right)$.