Finite-width effects on Delta baryons in QCD Sum Rules

TL;DR

This paper investigates how finite-width effects influence QCD sum rules for Delta baryons, using Monte Carlo methods and Breit-Wigner shapes to improve the accuracy of resonance parameter extraction.

Contribution

It introduces a detailed analysis of finite-width effects in QCD sum rules for Delta baryons, including the first excitation state, with a novel Monte Carlo approach.

Findings

Finite-width effects significantly impact sum rule analyses.

Monte Carlo methods improve resonance parameter estimations.

Finite-width corrections lead to more accurate Delta baryon properties.

Abstract

The quantum chromodynamics (QCD) sum rules for the Delta baryons are analyzed by taking into account the finite-width effects, through explicit utilization of the Breit-Wigner shape. We apply a Monte-Carlo based analysis to the 'traditional' and the parity-projected sum rules. The first Delta excitation state is also considered as a sub-continuum resonance and the widths are calculated using the mass values as input.