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New realizations of hadronic supersymmetry

Новые реалиэации адронной суперсимметрии

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

It is shown that Miyazawa’sSU(6/21) superalgebra for hadrons can be applied to a bilocal quark-antiquark (q\(\bar q\)) or quark-diquark (q-D) system resulting in multiplets that include thel=1 mesons in the (35+1) representation ofSU(6) and thel=1 baryons (70−), in addition to thel=0 mesons (35−+1−) andl=0 baryons (56+). Alternatively, a nonsimple algebra that brings together the (35−+1−) mesons and 56+ baryons is also proposed. This minimal scheme does not involve the D-\(\bar D\) exotic mesons in the lowest hadronic supermultiplet. In both schemes color is incorporated through the algebra of split octonions.

Riassunto

Si mostra che la superalgebra di MiyazawaSU(6/21) per adroni si può applicare a un sistema bilocale quark-antiquark (q\(\bar q\)) o quark-diquark (q-D) che dà come risultato multipletti che includono mesonil=1 nella rappresentazione (35+1) diSU(6) e barioni (l=1) (70−), in aggiunta ai mesonil=0 (35−+1−) e barionil=0 (56+). In alternativa, si propone anche un’algebra non semplice che riunisce i mesoni (35−+1−) e i barioni (56+). Questo schema minimo non coinvolge i mesoni esotic D-\(\bar D\) nel supermultipletto adronico inferiore. In entrambi gli schemi il colore s’incorpora attraverso l’algebra degli ottonioni sdoppiati.

Реэюме

Покаэывается, что супералгебра Миядэавы SU(6/21) для адронов может быть применена к билокальным кварк-антикварковым (q\(\bar q\)) или кварк-дикварковым (q-D) системам, обраэуя мультиплеты, которые включают 1=1 меэоны в (35 +1) представленииSU(6) и l =1 барионы (70−), в дополнение к l =0 меэонам (35− +1−) и l=0 барионам (56+). Также предлагается непростая алгебра, которая приводит к (35− + 1−) меэонам и 56+ барионам. Эта минимальная схема не включает D-\(\bar D\) зкэотические меэоны в ниэщий адронный супермультиплет. В обеих схемах цвет включается череэ алгебру октонионов расшепления.

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Authors and Affiliations

  1. Physics Department, Baruch College of the City University of New York, 10010, N.Y.

    S. Catto

  2. Henry Krumb School of Mines, Columbia University, 10027, New York, N. Y.

    S. Catto

  3. Physics Department, J. W. Gibbs Laboratory, Yale University, 06511, New Haven, Ct.

    F. Gürsey

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  1. S. Catto
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  2. F. Gürsey
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Additional information

Research supported in part by the U. S. Dept. of Energy Contract No. DE-AC-02-76 ERO 3075 and also in part by the PSC-CUNY Research Award No. 666448.

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Catto, S., Gürsey, F. New realizations of hadronic supersymmetry. Nuov Cim A 99, 685–699 (1988). https://doi.org/10.1007/BF02730633

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