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Nucleon mass from a covariant three-quark Faddeev equation
G Eichmann1, R Alkofer, A Krassnigg
1Institute for Nuclear Physics, Darmstadt University of Technology, 64289 Darmstadt, Germany.
Physical Review Letters
|September 28, 2010
Summary
This study introduces a comprehensive Poincaré-covariant Faddeev equation approach for nucleon structure. The model accurately predicts nucleon mass evolution, closely matching lattice data and prior quark-diquark calculations.
Area of Science:
- * Nuclear Physics
- * Quantum Chromodynamics
- * Hadron Spectroscopy
Background:
- * Understanding nucleon structure is crucial in quantum chromodynamics.
- * Previous models often simplified the complex three-quark interactions within nucleons.
- * Incorporating Poincaré covariance is essential for a rigorous description of relativistic hadrons.
Purpose of the Study:
- * To implement the full Poincaré-covariant structure of the three-quark amplitude in Faddeev equations for nucleon studies.
- * To develop a comprehensive approach to hadron physics by using an interaction kernel consistent with meson properties and chiral symmetry breaking.
- * To analyze the current-mass evolution of the nucleon mass.
Main Methods:
- * Employing Faddeev equations with a full Poincaré-covariant three-quark amplitude.
- * Utilizing an interaction kernel consistent with meson properties and chiral symmetry dynamics.
- * Calculating the nucleon mass and its evolution with the quark current mass.
Main Results:
- * The first study to implement the full Poincaré-covariant structure of the three-quark amplitude in Faddeev equations for the nucleon.
- * The developed model provides a comprehensive approach to hadron physics.
- * The calculated current-mass evolution of the nucleon mass shows good agreement with lattice QCD data.
Conclusions:
- * The Poincaré-covariant Faddeev equation approach offers a more complete description of nucleon structure.
- * The model's predictions for nucleon mass evolution are consistent with experimental and lattice data.
- * This work advances the understanding of hadron properties within a relativistic framework.
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