A Calculation of SU(4) Clebsch-Gordan Coefficients

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Date

2000-04-??-

Authors

林文隆
Wen-long Lin

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國立臺灣師範大學研究發展處
Office of Research and Development

Abstract

本文計算了SU(4)張量乘積[4*][4], [4*][20'*]和[4*][36]之Clebsch-Gordan係數,這些係數在計算B 介子蛻變之SU(4)振幅時需要用到。在計算時我們採用Braid及Biedenharn 之相位規定。我們將求得之係數分別列表。由於許多物理系統均具有SU(4)對稱性,因此我們的計算結果可供他人參考。
The Clebsch-Gordan coefficients for the products [4*][4], [4*][20'*]and[4*][36], required for the calculation of the SU(4) amplitudes of bottom meson decays, are obtained by using the phase convention of Baird and Biedenharn. The results of our calculation are tabulated. Since SU(4) symmetry occurs in many physical system, the coefficients for the above products obtained by us will be useful for further reference.

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