Relativistic five-quark equations and a narrow N(1688) resonance
S. M. Gerasyuta, V. I. Kochkin
TL;DR
This paper develops relativistic five-quark equations to calculate the properties of the N(1688) resonance, successfully predicting its mass and narrow width consistent with experimental evidence.
Contribution
It introduces a relativistic five-quark framework using dispersion relations to analyze the N(1688) pentaquark resonance.
Findings
Predicted mass of 1686 MeV for the N(1688) resonance.
Calculated a narrow width of about 7 MeV.
Results align well with experimental observations.
Abstract
The relativistic five-quark equations are found in the framework of the dispersion relation technique. The five-quark amplitude for the N(1688) resonance including u-, d- quarks is calculated. The pole of this amplitude determines the mass of non-strange pentaquark M=1686 MeV and the width about 7MeV. The results are in good agreement with the evidence for a narrow N(1688) resonance.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics