Spectroscopy of $a_1$ mesons from lattice QCD with the truncated overlap fermions

TL;DR

This paper uses lattice QCD with truncated overlap fermions to study the properties of $a_1$ mesons, successfully matching experimental data for ground and excited states.

Contribution

It introduces a lattice QCD approach with truncated overlap fermions to accurately compute $a_1$ meson states, including radial excitations.

Findings

Results align with experimental $a_1$(1260) and $a_1$(1640) meson masses.

Demonstrates the effectiveness of truncated overlap fermions in meson spectroscopy.

Provides insights into the structure of $a_1$ mesons from lattice simulations.

Abstract

We study the ground state and next radial excitation of the $a_1$ mesons from a quenched lattice QCD simulation with the truncated overlap fermions formalism based on domain wall fermions. Our results are consistent with the experimental values for $a_1$(1260) and $a_1$(1640).