Speaker
Description
The structure of the $N^*(1535)$ and $N^*(1650)$ remains puzzling. They strongly couple with $N\pi$, $N\eta$, $\Lambda K$ and $\Sigma K$. However, only the scattering amplitude of $N\pi \to N\pi$ has been measured in experiments. On the other hand, lattice QCD performs calculations from the first principles of QCD theory. The spectrum in the finite volume will provide us with additional information on the scattering amplitude of these coupled channels through the bridge between finite and infinite volumes. These new constraints will help us understand the structure of the $N^*(1535)$ and $N^*(1650)$. In this presentation, we will introduce recent work based on Hamiltonian Effective Field Theory (HEFT) for the N(1535) and N(1650) by analyzing the $N\pi \to N\pi$ scattering amplitudes and lattice energy levels simultaneously.
