Possible formation mechanism of multistate gravitational atoms

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