Su(2) Saturation to Su(3) Closure: a Monte Carlo Model of Nuclear Coherence and the Emergence of Magic Numbers
Year: 2026
Type: preprint
Abstract: We propose a minimal Monte Carlo model of nuclear coherence based on binary link interactions and triangular cyclic closure.The model exhibits a structural transition near Z = 28, where the dominance shifts from local pair coherence (link kappa) to collective triangular coherence (triangle kappa).This inversion corresponds to a spontaneous emergence of SU(3)-type hexagonal organization, without imposing any symmetry a priori.The threshold coincides with a known nuclear magic number, suggesting that shell closures may reflect geometric saturation mechanisms rather than purely combinatorial filling rules.The transition is interpreted within the TRUE framework as a crossing of the universal saturation threshold gamma zero, where local crispation yields to global relaxation through closed cyclic structures.
Authors: Febba, Michel, Oualifi, Bouchaib
Institution: University of Hassan II Casablanca
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162191160
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