Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.
Bosonic gas as a Galactic Dark Matter Halo
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abstract
We study in detail the properties of gravitationally-bounded multi-state configurations, made of spin-zero bosons, in the Newtonian regime. We show that the properties of such configurations, in particular their stability, depend upon how the particles are distributed in the different states they are composed of. Numerical techniques are used to distinguish between stable and unstable solutions, and to determine the final configurations they evolve towards to. Multi-state equilibrium configurations can be used as models of galactic halos made of scalar field dark matter, whose rotation curves appear more realistic than in the case of single-state configurations.
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2026 1verdicts
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Existence of nonrelativistic $\ell$- and multi-$\ell$-boson stars and their radial stability
Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.