Motivated by the observation of exotic structure around 6900 MeV in the $J/\psi$-pair mass spectrum using proton-proton collision data by the LHCb collaboration, we study the spectra of fully-heavy tetraquarks within Bethe-Salpeter equation and Regge trajectory relation. The $X(6900)$ may be explained as a radially excited state with quark content $cc\overline{c}\overline{c}$ and spin-parity $0^{++}(3S)$ or $2^{++}(3S)$ or an orbitally excited 2P state. New $cc\overline{c}\overline{c}$ structures around 6.0 GeV, 6.5 GeV, and 7.1 GeV are predicted together. Other $bb\overline{b}\overline{b}$ and $bc\overline{b}\overline{c}$ structures which may be experimentally prominent are discussed. On the other hand, the fully-heavy S-wave tetraquark production at hadron colliders is investigated and their cross sections are obtained.

由观测6900 MeV附近的奇异结构所激发。 $Ĵ/\psi$通过LHCb协作的质子-质子碰撞数据生成双对质谱，我们研究了Bethe-Salpeter方程和Regge轨迹关系中的全重四夸克的光谱。这$X（6900）$ 可以解释为具有夸克含量的径向激发态 $CC\overline{C}\overline{C}$ 和自旋平价 $0^{++}（3\mathrm{小号}）$ 或者 ${\mathrm{2个}}^{++}（3\mathrm{小号}）$或轨道激发的2 P状态。新的$CC\overline{C}\overline{C}$一起预测了6.0 GeV，6.5 GeV和7.1 GeV附近的结构。其他$bb\overline{b}\overline{b}$ 和 $bC\overline{b}\overline{C}$讨论了可能在实验上很突出的结构。另一方面，研究了强子对撞机产生的全重S波四夸克，并获得了它们的横截面。