# Coupling to Multihadron States with Chiral Fermions

## TL;DR

This paper investigates the role of chiral symmetry in baryon spectroscopy using lattice QCD with chiral fermions, comparing results from chiral and non-chiral quark formulations at physical pion mass.

## Contribution

It performs the first detailed lattice QCD study of multihadron states with chiral fermions at physical pion mass, analyzing spectral weights and non-chiral effects.

## Key findings

- Spectral weights vary with valence pion mass.
- Chiral effects decrease as lattice spacing reduces.
- Comparison with non-chiral quarks highlights non-chiral effects.

## Abstract

Chiral symmerty is presumed to be a crucial component in the strong interaction and QCD, but its role in spectroscopy, especially for baryons, has not been fully explored. Compounding this, chiral fermions are uncommon in lattice calculations due to their expensive nature. We calculate $\eta\pi$, $K\pi$ and $N\pi$ states with $q\bar{q}$ and $qqq$ interpolation fields at $a=0.114\,\mathrm{fm}$ on a $48^3\times 96$ mixed-action lattice at the physical pion mass, with domain-wall sea quarks and overlap valence quarks. We study the spectral weights of these states as a function of the valence pion mass, which ranges from $m_{\pi}=115-665\,\mathrm{MeV}$, to be compared with the results from non-chiral clover valence quarks on the same domain-wall lattice in order to examine their non-chiral effects, which are expected to decrease with the lattice spacing.