Decay behavior of hidden-strange hadronic molecular state $N(2270)$

In this article, we systematically discuss the decay patterns of the hidden-strange hadronic molecular state $N(2270)$ which is assumed as an S-wave $K^\ast\Sigma^\ast$ shallow bound state with its possible quantum numbers $J^P$ which are ${1/2}^-$, ${3/2}^-$ and ${5/2}^-$. By using the effective Lagrangian approach and considering pseudo-scalar meson and vector meson exchanges, we have thoroughly calculated and discussed the decay behavior of the $N(2270)$ molecular state, including hadronic and radiative decay and the cutoff dependence, for different $J^P$ values. For all three cases, $K^\ast \Lambda$, $K^\ast \Sigma$, and $\rho N$ final states are always included as the main decay channels. However, the $K \Lambda$, $\pi N$ and $\pi \Delta$ final states exhibit notable differences. These different decay properties will provide valuable guidance for future experimental searches and aid in distinguishing different $J^P$ assumptions and understanding their internal structures.