Level Statistics of SU(3)↔SU(3) Transitional Region

Level statistics oftransitional region of SU( ) 3 3 ↔ SU( ) interacting boson model is described with emphasis on the nearest neighbor spacing distributions. The energy levels of transitional Hamiltonian are calculated via the SO(6) representation of eigenstates. By employing the MLE technique, the parameter of Abul-Magd distribution is estimated which suggests less regular dynamics for transitional region as compared to dynamical symmetry limits. Also, the O(6) dynamical symmetry which is known as the critical point of this transitional region, describes a deviation to more regular dynamics.