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

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 $η_c$ 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.

7 pages, Talk presented at The XXVI International Symposium on Lattice Field Theory, LATTICE 2008, July 14 - 19, 2008, Williamsburg, Virginia, USA