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New relations for excited baryons in large-N(c) QCD
Thomas D Cohen1, Richard F Lebed
1Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA. cohen@physics.umd.edu
Physical Review Letters
|August 9, 2003
Summary
Excited baryons in large-N(c) quantum chromodynamics (QCD) form multiplets with masses split at O(1/N(c)). Specific resonance decays, like N(1535) to eta-N, are predicted by this structure.
Area of Science:
- Quantum Chromodynamics (QCD)
- Particle Physics
- Nuclear Physics
Background:
- Understanding the structure of excited baryons is crucial in quantum chromodynamics (QCD).
- The behavior of resonances and their decay patterns provide insights into fundamental interactions.
Purpose of the Study:
- To investigate the multiplet structure of excited baryons in the large-N(c) limit of QCD.
- To analyze the mass splitting and dominant decay couplings of these baryon resonances.
Main Methods:
- Analysis within the framework of large-N(c) QCD.
- Application of a large-N(c) quark model describing resonances as single-quark excitations.
Main Results:
- Excited baryons form multiplets in large-N(c) QCD, with mass splitting occurring at O(1/N(c)).
- Dominant couplings of resonances are highly constrained, predicting exclusive decays like N(1535) to eta-N and N(1650) to pi-N at leading order.
- The observed multiplet structure is consistent with a simple large-N(c) quark model.
Conclusions:
- The large-N(c) expansion provides a powerful tool for understanding excited baryon properties.
- The predicted decay patterns offer testable predictions for experimental observations.
- A simple quark model effectively reproduces the emergent multiplet structure in the large-N(c) limit.