Combined spin and G2 symmetry

The algebra of the group D5 is the most direct generalization of that of the direct product of G2 with the ordinary spin group SU2. Furthermore it also contains that of R7 times SU2. In this paper we analyze the particle classification provided by D5; it is found that a 16-dimensional representation...

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Autor principal: Garibotti, C.R.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0031899X_v149_n4_p1125_Garibotti
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_0031899X_v149_n4_p1125_Garibotti2023-10-03T14:41:57Z Combined spin and G2 symmetry Garibotti, C.R. The algebra of the group D5 is the most direct generalization of that of the direct product of G2 with the ordinary spin group SU2. Furthermore it also contains that of R7 times SU2. In this paper we analyze the particle classification provided by D5; it is found that a 16-dimensional representation appears to contain the baryons and gives results for the magnetic moment and mass formula equivalent to those obtained with the nonbroken G2a-SU2 group, but now the Λ particle is directly included. The 45-dimensional regular representation of D5 provides an appropriate basis for the proposed G2a-SU2 representations of the mesons and boson resonances. © 1966 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0031899X_v149_n4_p1125_Garibotti
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The algebra of the group D5 is the most direct generalization of that of the direct product of G2 with the ordinary spin group SU2. Furthermore it also contains that of R7 times SU2. In this paper we analyze the particle classification provided by D5; it is found that a 16-dimensional representation appears to contain the baryons and gives results for the magnetic moment and mass formula equivalent to those obtained with the nonbroken G2a-SU2 group, but now the Λ particle is directly included. The 45-dimensional regular representation of D5 provides an appropriate basis for the proposed G2a-SU2 representations of the mesons and boson resonances. © 1966 The American Physical Society.
format JOUR
author Garibotti, C.R.
spellingShingle Garibotti, C.R.
Combined spin and G2 symmetry
author_facet Garibotti, C.R.
author_sort Garibotti, C.R.
title Combined spin and G2 symmetry
title_short Combined spin and G2 symmetry
title_full Combined spin and G2 symmetry
title_fullStr Combined spin and G2 symmetry
title_full_unstemmed Combined spin and G2 symmetry
title_sort combined spin and g2 symmetry
url http://hdl.handle.net/20.500.12110/paper_0031899X_v149_n4_p1125_Garibotti
work_keys_str_mv AT garibotticr combinedspinandg2symmetry
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