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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Publicado: 1966
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031899X_v149_n4_p1125_Garibotti
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
id paper:paper_0031899X_v149_n4_p1125_Garibotti
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spelling paper:paper_0031899X_v149_n4_p1125_Garibotti2023-06-08T14:57:45Z 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 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. 1966 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031899X_v149_n4_p1125_Garibotti 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.
title Combined spin and G2 symmetry
spellingShingle 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
publishDate 1966
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031899X_v149_n4_p1125_Garibotti
http://hdl.handle.net/20.500.12110/paper_0031899X_v149_n4_p1125_Garibotti
_version_ 1768541975936499712

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