Delta-baryon mass in a covariant Faddeev approach
D. Nicmorus, G. Eichmann, A. Krassnigg, R. Alkofer
TL;DR
This paper calculates the Delta-baryon mass using a covariant Faddeev approach, solving Dyson-Schwinger and Bethe-Salpeter equations to understand its dependence on quark mass.
Contribution
It introduces a consistent covariant framework for computing the Delta-baryon mass using Dyson-Schwinger and Bethe-Salpeter equations in rainbow-ladder truncation.
Findings
Delta mass evolution with current-quark mass analyzed
Comparison made between Delta and nucleon masses
Provides insights into three-quark core contributions
Abstract
We present a calculation of the three-quark core contribution to the mass of the Delta-baryon in a Poincare-covariant Faddeev framework. A consistent setup for the dressed-quark propagator, the quark-quark and quark-diquark interactions is used, where all the ingredients are solutions of their respective Dyson-Schwinger or Bethe-Salpeter equations in rainbow-ladder truncation. We discuss the evolution of the Delta mass with the current-quark mass and compare to the previously obtained mass of the nucleon.
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