SU(6)$\supset$SU(3)xSU(2) and SU(8)$\supset$SU(4)xSU(2) Clebsch-Gordan coefficients

TL;DR

This paper provides detailed tables of scalar factors for specific group decompositions in SU(8) and SU(6), facilitating calculations of Clebsch-Gordan coefficients relevant to meson and baryon studies in spin-flavor symmetry.

Contribution

It presents comprehensive tables of scalar factors for SU(8) and SU(6) group decompositions, enabling complete reconstruction of Clebsch-Gordan coefficients for meson-baryon interactions.

Findings

Tables for SU(8) and SU(6) decompositions provided

Enables study of meson-meson and baryon-meson interactions

Supports spin-flavor symmetric scheme analysis

Abstract

Tables of scalar factors are presented for 63x63 and 120x63 in SU(8)$\supset$SU(4)xSU(2), and for 35x35 and 56x35 in SU(6)$\supset$SU(3)xSU(2). Related tables for SU(4)$\supset$SU(3)xU(1) and SU(3)$\supset$SU(2)xU(1) are also provided so that the Clebsch-Gordan coefficients can be completely reconstructed. These are suitable to study meson-meson and baryon-meson within a spin-flavor symmetric scheme.