Faddeev equations: a view of baryon properties
D. Nicmorus, G. Eichmann, A. Krassnigg, R. Alkofer
TL;DR
This paper calculates the Delta-baryon mass using a Poincare-covariant Faddeev approach, solving Dyson-Schwinger and Bethe-Salpeter equations to understand baryon properties.
Contribution
It introduces a consistent framework for computing baryon masses using Dyson-Schwinger and Bethe-Salpeter equations within a Faddeev formalism.
Findings
Calculated Delta-baryon mass as a function of current-quark mass.
Compared Delta mass evolution to nucleon mass.
Provided 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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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research