Collisions between spinning and nonspinning co-axial three-dimensional Ginzburg-Landau solitons

We report results of the first analysis of collisions between stable fundamental (alias spinless) and vortical (spinning) three-dimensional dissipative solitons in a model of a laser cavity. The systematic analysis is carried out for values S = 1 and S = 2 of the vorticity of the latter soliton. With the increase of the collision momentum, χ₁, the same generic scenarios are observed in either case: merger into a single fundamental soliton at both small and relatively large values of χ₁, and the formation of two fundamental solitons in an intermediate interval of variation of the collision momentum χ₁. At very large values of χ₁, the collision seems quasi-elastic, but the vortex soliton eventually splits into two nonspinning fragments.