2002/10/03 by Sze Kui Ng, Ng, Sze Kui · 1 citation
Mathematics · Physics and Astronomy · #Baryon #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Knot (papermaking) #Meson #Muon #Particle physics #Physics #Quantum mechanics #Quantum number #Quark #Quark model #Quarkonium #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0210024
55 pages, 6 figures
openalex publication_date 2002/10/03 · arxiv created 2007/04/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A quantum knot model of mesons and baryons is established. This quantum knot model is derived from a quantum gauge model which is similar to the QCD gauge model. We first establish a knot model of the π mesons. We show that the π mesons are modeled by the prime knot \bf41 (which is assigned with the prime number 3). We show that the knot model of the π+ meson gives the strong interaction for the formation of the π+ meson and the weak decay π+ → μ+ +νμ. We give a mass machanism for the generation of the masses of the π0 meson, π+ meson, the muon μ+ and the muon neutrino νμ. We then extend the knot model to the basic mesons K0, η, ρ, ω, K^*, η′, and ϕ. These mesons are modeled by the prime knots \bf 61, 62, 63, 63, 71, 72, 72 respectively where \bf 61, 62, 63, 71, 72 are assigned with the prime numbers 11, 13,17, 19, 23 respectively. We then extend the knot model to the basic baryons p,n, Λ, Σ, Ξ; Δ, Σ^*, Ξ^*, Ω- and Λ^*. We show that these baryons are modeled by the prime knots \bf 62, 62, 71, 71,71; \bf71, 71,71, 72 and \bf71 respectively where \bf 62, 71, 72 are assigned with the prime numbers 13, 19, 23 respectively. This knot model gives a unification of the electromagnetic, the weak and the strong interactions. We show that the existing quark model is as a part of this knot model.