# Study of Low-Lying Baryons with Hamiltonian Effective Field Theory

## TL;DR

This paper uses Hamiltonian effective field theory to predict and analyze the finite-volume energy levels of low-lying baryons, comparing predictions with lattice QCD results to better understand baryon structure.

## Contribution

The study applies HEFT to connect experimental baryon data with lattice QCD simulations, providing a novel approach to determine resonance properties from lattice results.

## Key findings

- Excellent agreement between HEFT predictions and lattice QCD data.
- Finite-volume eigenstates can be used to extract resonance properties.
- Analysis clarifies the role of different Hamiltonian components in baryon states.

## Abstract

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying baryons $N^*(1535)$, $N^*(1440)$, and $\Lambda(1405)$. In the initial analysis, the phenomenological parameters of the Hamiltonian model are constrained by experiment and the finite-volume eigenstate energies are a prediction of the model. The agreement between HEFT predictions and lattice QCD results obtained at finite volume is excellent. These lattice results also admit a more conventional analysis where the low-energy coefficients are constrained by lattice QCD results, enabling a determination of resonance properties from lattice QCD itself. The role and importance of various components of the Hamiltonian model are examined in the finite volume. The analysis of the lattice QCD data can help us to undertand the structure of these states better.