Nuclear medium effects on the properties of $\mathrm{\Lambda }(1405)$

We study the $\mathrm{\Lambda }(1405)$ resonance with $I(J^P)=0(1\mathrm{/}{2}^{-})$ in the context of the pentaquark hypothesis in the nuclear medium. For the investigation of the influence of the nuclear medium on the physical parameters of $\mathrm{\Lambda }(1405)$, we propose a molecular-type structure involving $K^{-}p$ and ${\bar{K}}^{0}n$ admixtures, correlated with the nuclear matter density. Our analysis reveals a substantial shift in both mass and residue, approximately $20\mathrm{\%}$ and $38\mathrm{\%}$, respectively. These findings have significant implications for experimental researchers aimed at identifying in-medium characteristics of hyperon resonances.