  The collision of two equilibrium ground state solutions of the
Schr\"odinger-Poisson (SP) system, in orthogonal states, is proposed as a
formation mechanism of mixed state solutions of the SP system with spherical
and first dipolar components. The collisions are simulated by solving
numerically the SP system for two orthogonal states, considering head-on
encounters, and using various mass ratios between the initial configurations
with different head-on momentum. The results indicate that the less massive of
the configurations pinches-off the more massive one, and redistributes its
density along the axis of collision. The averaged in time density of the two
states resembles the distribution of matter of bi-state equilibrium
configurations with monopolar and dipolar contributions.
