With 10 billion $J/\psi$ events collected at \mbox{BESIII}, the decay of $X(2370)\rightarrow K^{*}(892)^{0}\bar{K}^{0}+\mathrm{c.c.}$ is searched for via the $J/\psi\rightarrow\gamma K_{S}^{0}K_{S}^{0}\pi^{0}$ process. No evidence of this decay mode is found, with $\mathcal{B}[J/\psi\rightarrow\gamma X(2370)] \times \mathcal{B}[ X(2370) \rightarrow K^{*}(892)^{0}\bar{K}^{0}+\mathrm{c.c.}...
In this talk, the current research work on the scalar glueball gravitational form factors within the Skyrme-Faddeev model will be presented, where this model is constructed based on the Hopf topological invariant. Next, a comparison of our interesting findings with other theoretical calculations and lattice QCD simulation results will be presented and discussed.