Towards the strong decays of light strange four-quark states with $J^P=1^{+}$

This thesis considers the decays of fully light four quark exotic as the main subject. In the context, we study the possible decays from general symmetric analysis: $uu\bar{d}\bar{s}$, $dd\bar{s}\bar{u}$, $ds\bar{u}\bar{u}$, and $su\bar{d}\bar{d}$. Using the light quark flavor symmetry, we discuss the decay modes of decuplet and 27 multiplet with $J^P=1^{+}$. Further more, the phenomenological hadronic molecular approach is employed for the calculation of respective decay modes. Our results show that the total decay widths of $T_{\rho K}$ and $S_{\rho K^{\ast }}$ can reach several MeV. The two-body and three-body decay widths are further obtained respectively. These are excepted to be fairly valuable supports for future search experiments.