Cosmological structure formation in scalar field dark matter with repulsive self-interaction

Author(s)
Paul R. Shapiro, Taha Dawoodbhoy, Tanja Rindler-Daller
Abstract

Scalar field dark matter (SFDM) comprised of ultralight (≳ 10-22 eV) bosons is an alternative to standard, collisionless cold dark matter (CDM) that is CDM-like on large scales but inhibits small-scale structure formation. As a Bose-Einstein condensate, its free-field ('fuzzy') limit (FDM) suppresses structure below the de Broglie wavelength, λdeB, creating virialized haloes with central cores of radius ~ λdeB, surrounded by CDM-like envelopes, and a halo mass function (HMF) with a sharp cut-off on small scales. With a strong enough repulsive self-interaction (SI), structure is inhibited, instead, below the Thomas-Fermi (TF) radius, RTF (the size of an SI-pressure-supported (n = 1)-polytrope), when RTF > λdeB. Previously, we developed tools to describe SFDM dynamics on scales above λdeB and showed that SFDM-TF haloes formed by Jeans-unstable collapse from non-cosmological initial conditions have RTF-sized cores, surrounded by CDM-like envelopes. Revisiting SFDM-TF in the cosmological context, we simulate halo formation by cosmological infall and collapse, and derive its transfer function from linear perturbation theory to produce cosmological initial conditions and predict statistical measures of structure formation, such as the HMF. Since FDM and SFDM-TF transfer functions both have small-scale cut-offs, we can align them to let observational constraints on FDM proxy for SFDM-TF, finding FDM with particle masses 1 ≲ m/(10-22 eV/c2) ≲ 30 corresponds to SFDM-TF with 10 ≳ RTF/(1 pc) ≳ 1, favouring subgalactic (sub-kpc) core size. The SFDM-TF HMF cuts off gradually, however, leaving more small-mass haloes: Its Jeans mass shrinks so fast that scales filtered early can still recover and grow!

Organisation(s)
Department of Astrophysics
External organisation(s)
University of Texas, Austin
Journal
Monthly Notices of the Royal Astronomical Society
Volume
509
Pages
145-173
No. of pages
29
ISSN
0035-8711
DOI
https://doi.org/10.1093/mnras/stab2884
Publication date
01-2022
Peer reviewed
Yes
Austrian Fields of Science 2012
103003 Astronomy, 103004 Astrophysics, 103044 Cosmology
Keywords
Portal url
https://ucrisportal.univie.ac.at/en/publications/2097c775-9bfc-4467-940b-98ff1e54575d