# Invariance of Hamiltonian of strong interaction under SU(6)

Dear all, this is my first thread in the forum.
I am trying to solve the following problem. it was given during a written exam at my university (many years ago) and I really would appreciate if someone will help me to solve it

1. Homework Statement

Show that if the hamiltonian of the strong interaction is invariant under SU(6) Spin- Flavor (instead of under SU(3)F ⊗SU(2)S) then it is possible explain the mixing of pseudo scalar and vectorial mesons in the octet and singlet (η − η’ y ω − φ).

## The Attempt at a Solution

I have no idea how to approach this problem.​