Chiral Baryon Fields in the QCD Sum Rule

TL;DR

This paper uses QCD sum rules to analyze local baryon fields, identifying chiral representations that yield baryon masses consistent with experimental data and calculating their decay constants.

Contribution

It introduces a detailed analysis of baryon fields within specific chiral representations using QCD sum rules, providing mass and decay constant calculations.

Findings

Baryon masses match experimental data within chosen chiral representations.

Decay constants are calculated and found to be well-defined.

Normalizations for baryon fields are verified against previous work.

Abstract

We study the structure of local baryon fields using the method of QCD sum rule. We only consider the single baryon fields and calculate their operator product expansions. We find that the octet baryon fields belonging to the chiral representations [(3,3*)+(3*,3)] and [(8,1)+(1,8)] and the decuplet baryon fields belonging to the chiral representations [(3,6)+(6,3)] lead to the baryon masses which are consistent with the experimental data of ground baryon masses. We also calculate their decay constants, check our normalizations for baryon fields in PRD81:054002(2010) and find that they are well-defined.