Introducing SU(3) color charge in undergraduate quantum mechanics

Introducing SU(3) color charge in undergraduate quantum mechanics

We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are considered. In particular, a toy model for a three-source “baryon” is constructed and investigated analytically and numerically...

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Veröffentlicht in:American journal of physics 2021-02, Vol.89 (2), p.172-184
Hauptverfasser: Inscoe, Brandon L., Lancaster, Jarrett L.
Format: Artikel
Sprache:eng
Schlagworte:
College students
Color
Geometry
Quantum dots
Quantum physics
Quantum theory
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Beschreibung
Zusammenfassung:We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are considered. In particular, a toy model for a three-source “baryon” is constructed and investigated analytically and numerically for various choices of interactions. vpython is used to visualize the nontrivial color charge dynamics. The treatment should be accessible to undergraduate students who have taken a first course in quantum mechanics, and suggestions for independent student projects are proposed.
ISSN:0002-9505
1943-2909
DOI:10.1119/10.0002004