Meson mass spectrum using the Cayley-Dickson algebra
S. Kuwata, A. Omoto, S. Ishihara
TL;DR
This paper derives a meson mass formula using Cayley-Dickson algebra, showing a precise relation among meson masses that aligns well with experimental data.
Contribution
It introduces a novel approach connecting algebraic structures to meson mass spectra, providing an accurate mass relation.
Findings
Derived the mass formula 2 m_{D_s} = m_{eta_c} + m_{eta'}
Achieved excellent agreement with experimental meson masses
Established a link between Cayley-Dickson algebra and particle physics
Abstract
From an injective map between the mass of the meson 16-plet and the eigenvalue of the right multiplication in the Cayley-Dickson algebra, we obtain the mass formula as 2 m_{D_s} = m_{eta_c} + m_{eta'}, which is in excellent agreement with experiment.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Quantum Mechanics and Applications · Quantum and Classical Electrodynamics