Structure of the $\mathbf{\Lambda }(\mathbf{1670})$ resonance

We examine the internal structure of the $\mathrm{\Lambda }(1670)$ through an analysis of lattice QCD simulations and experimental data within Hamiltonian effective field theory. Two scenarios are presented. The first describes the $\mathrm{\Lambda }(1670)$ as a bare three-quark basis state, which mixes with the $\pi \mathrm{\Sigma }$, $\bar{K}N$, $\eta \mathrm{\Lambda }$ and $K\mathrm{\Xi }$ meson-baryon channels. In the second scenario, the $\mathrm{\Lambda }(1670)$ is dynamically generated from these isospin-0 coupled channels. The $K^{-}p$ scattering data and the pole structures of the $\mathrm{\Lambda }(1405)$ and the $\mathrm{\Lambda }(1670)$ can be simultaneously described well in both scenarios. However, a comparison of the finite-volume spectra to lattice QCD calculations reveals significant differences between these scenarios, with a clear preference for the first case. Thus the lattice QCD results play a crucial role in allowing us to distinguish between these two scenarios for the internal structure of the $\mathrm{\Lambda }(1670)$.