  We apply the wall crossing structure formalism of Kontsevich and Soibelman to
Seiberg-Witten integrable systems associated to pure $SU(3)$. This gives an
algorithm for computing the Donaldson-Thomas invariants, which correspond to
BPS degeneracy of the corresponding BPS states in physics. The main ingredients
of this algorithm are the use of split attractor flows and Kontsevich Soibelman
wall crossing formulas. Besides the known BPS spectrum in pure $SU(3)$ case, we
obtain new family of BPS states with BPS-invariants equal to 2.
