Summary
Miyazawa's supersymmetric generalization of the approximateSU 6 symmetry of hadrons, namelyU 6/21, is shown to arise within the frame of the standard theory of quarks interacting through gluons. The supersymmetry is found to hold in the same approximation for whichSU 6 is a good symmetry, provided a diquark structure emerges through an effective string interaction. The spin independence of the confining force of the strong-coupling regime then explains the near parallelism of the leading Regge trajectories for baryons and mesons. Symmetry breaking is due to mass differences of the constituents and spin-dependent forces caused by gluon exchange. TheU 6/21 algebra is also shown to be embedded in a larger octonionic algebra which puts mesons and baryons, exotic mesons, quarks and diquarks in the same multiplet. The experimental evidence for the existence of qq and\(qq\overline {qq} \) systems is briefly discussed.
Riassunto
Si mostra che la generalizzatione supersimmetrica di Miyazawa della simmetriaSU 6 approssimata degli adroni, cioèU 6/21 nasce all'interno del sistema della teoria standard di quark che interagiscono attraverso gluoni. Si trova che la supersimmetria è valida nella stessa approssimazione per la qualeSU 6 è una buona simmetria. ammesso che una struttura di quark emerga attraverso un'interazione di stringa efficace. L'indipendenza dello spin della forza confinante del regime ad accoppiamento forte spiega quindi il quasi parallelismo delle traiettorie guida di Regge per barioni e mesoni. Le rottura di simmetria è dovuta alle differenze di massa dei costituentied alle forze spin dipendenti causate dallo scambio gluonico. Si mostra anche che l'algebraU 6/21 è inclusa in un algebra ottonioca piú ampia che pone mesoni e barioni, mesoni esotici, quark e diquark nello stesso multipletto. Si discute brevemente la prova sperimentale dell'esistenza dei sistemi qq e\(qq\overline {qq} \).
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Research supported in part by the U.S. Department of Energy Contract No. DE-AC-02-76 ERO 3074 and No. DE-AC-02-76 ERO 3075.
Traduzione a cura della Redazione.
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Catto, S., Gürsey, F. Algebraic treatment of effective supersymmetry. Nuov Cim A 86, 201–218 (1985). https://doi.org/10.1007/BF02902548
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DOI: https://doi.org/10.1007/BF02902548