Shape Shifting Light Dark Matter Solitons
Dor Ben-Amotz

TL;DR
This paper models dark matter as a Bose-Einstein condensate soliton, analyzing its shape, scaling relations, and observational signatures, and compares predictions with dwarf galaxy data to constrain particle mass.
Contribution
It introduces a Gaussian sum method to accurately represent soliton solutions with baryonic coupling, enabling detailed galactic predictions and observational tests.
Findings
Soliton shapes vary with dark matter mass fraction and central black holes.
Predicted dark matter particle mass is around 10^{-22} eV/c^2.
Models are compatible with dwarf galaxy observations.
Abstract
Dark matter consisting of a Bose--Einstein condensate (BEC) of ultra-light particles is predicted to have a soliton shape that shifts with the dark matter mass fraction in galaxies containing a centrally localized point mass (or black hole), consistent with previous numerical results and analytical approximations in both the cored self-gravitating and cusped hydrogenic limits. Solutions of the Schr\"{o}dinger-Poisson equation with baryonic coupling are here accurately represented as a sum of five Gaussians with numerically optimized amplitudes and widths, thereby facilitating galactic predictions and observational comparisons as a function of dark matter mass fraction. The results are used to derive mass, energy and velocity scaling relations as functions of soliton mass fraction, as well as to predict dark matter halo size, mass and core density in terms of observed half-light radii…
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Taxonomy
TopicsSpectroscopy and Laser Applications · Atmospheric Ozone and Climate
