A novel method for the determination of hadron excited states in Lattice QCD applied to the nucleon

TL;DR

This paper introduces a new statistical method for accurately identifying hadron excited states in Lattice QCD, demonstrated through analysis of the $ ext{η}_c$ and nucleon correlators, improving state determination precision.

Contribution

The paper presents a novel statistical approach for spectral analysis in Lattice QCD, enhancing the identification of excited states compared to traditional Bayesian methods.

Findings

Successful identification of excited states in nucleon correlators

Comparison shows improved accuracy over Bayesian analysis

Analysis includes discussion on the Roper resonance

Abstract

A novel method for the precise identification and determination of the energies that contribute in the spectral decomposition of lattice correlators is presented. The method is based on statistical concepts and it relies heavily on simulation techniques. The $\eta_c$ correlator is analyzed within this method and the results obtained are compared to a previous analysis based on Bayesian statistics. An analysis of the nucleon local two-point correlators leads to the identification of the excited states in the positive and negative channels. A discussion on the Roper is included.