Clebsch-Gordan coefficients for : the first steps

The group chain U(8) <img src="../../../../../img/revistas/rmf/v52s1/a16s2.jpg">O(8) <img src="../../../../../img/revistas/rmf/v52s1/a16s2.jpg">SU(3) plays an important role in systems of many gluons and in a schematic model for QCD at low energy. In order to calculate decay probabilities one has to calculate the Clebsch-Gordan coefficients of this group chain. In this contribution we present the basic idea in the example of SU(3) <img src="../../../../../img/revistas/rmf/v52s1/a16s2.jpg">SO(3). Afterwards, the polynomial states of the U(8) chain are constructed and the procedure to obtain the Clebsch-Gordan coefficients is outlined. Partial results are presented.

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Bibliographic Details
Main Authors: Sánchez Lima,I, Hess,P.O
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2006
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2006000700016
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