Baryon spectroscopy with spatially improved quark sources

TL;DR

This paper advances baryon spectroscopy on the lattice by developing improved spatial wavefunction operators using Jacobi smearing, enabling better identification of ground and excited states.

Contribution

It introduces a new set of interpolators with varied Dirac structures and smearing widths, enhancing the analysis of baryon excited states on the lattice.

Findings

Successful extraction of excited state spectra for spin-1/2 baryons

Results consistent with other groups for spin-3/2 baryons

Improved operator construction enhances state overlap

Abstract

We study baryons on the lattice with a special focus on excited states. For that purpose we construct several interpolators which differ in their Dirac structure. These interpolators are built from Jacobi smeared quarks with different widths in order to allow for operators with improved spatial wavefunctions. We compute all cross correlations and use the variational method to determine which combinations of operators have best overlap with ground and excited states. Our approach yields promising results for the spin-1/2 baryons: nucleon, sigma, xi and lambda. For the spin-3/2 baryons, delta and omega, we obtain results which are consistent with results of other groups.