Possible formation mechanism of multistate gravitational atoms

Understand

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.