An algebraic approach to (3, 3)⊕(3, 3)⊕(8, 8) chiral-symmetry breaking

We examine the Hamiltonian

$\text{H = H}{}_0\text{+ε}{}_0\text{u}{}_0\text{+ε}{}_8\text{u}{}_8\text{+A S}{}_{\mathrm{\alpha \alpha }}\text{+B d}{}_{\mathrm{8\alpha \beta }}\text{S}{}_{\mathrm{\alpha \beta }}$

, where u_o, u₈ belong to $\text{(3,}\text{3}\text{)+(}\text{3}\text{,3)}$ and S_αα, S_αβ belong to (8,8), following a purely algebraic approach due to Michel and Radicati and obtain B/A = 2√3 if ε₈/ε₀ = ?√2.