Bracketing the soliton-halo relation of ultralight dark matter

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Autores principales: Blum, Kfir, Gorghetto, Marco, Hardy, Edward, Teodori, Luca
Formato: Preprint
Publicado: 2025
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author Blum, Kfir
Gorghetto, Marco
Hardy, Edward
Teodori, Luca
author_facet Blum, Kfir
Gorghetto, Marco
Hardy, Edward
Teodori, Luca
contents In theories of ultralight dark matter, solitons form in the inner regions of galactic halos. The observational implications of these depend on the soliton mass. Various relations between the mass of the soliton and properties of the halo have been proposed. We analyze the implications of these relations, and test them with a suite of numerical simulations. The relation of Schive et al. 2014 is equivalent to $(E/M)_{\rm sol}=(E/M)_{\rm halo}$ where $E_{\rm sol (halo)}$ and $M_{\rm sol (halo)}$ are the energy and mass of the soliton (halo). If the halo is approximately virialized, this relation is parametrically similar to the evaporation/growth threshold of Chan et al. 2022, and it thus gives a rough lower bound on the soliton mass. A different relation has been proposed by Mocz et al. 2017, which is equivalent to $E_{\rm sol}=E_{\rm halo}$, so is an upper bound on the soliton mass provided the halo energy can be estimated reliably. Our simulations provide evidence for this picture, and are in broad consistency with the literature, in particular after accounting for ambiguities in the definition of $E_{\rm halo}$ at finite volume.
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id arxiv_https___arxiv_org_abs_2504_16202
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bracketing the soliton-halo relation of ultralight dark matter
Blum, Kfir
Gorghetto, Marco
Hardy, Edward
Teodori, Luca
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Physics - Phenomenology
In theories of ultralight dark matter, solitons form in the inner regions of galactic halos. The observational implications of these depend on the soliton mass. Various relations between the mass of the soliton and properties of the halo have been proposed. We analyze the implications of these relations, and test them with a suite of numerical simulations. The relation of Schive et al. 2014 is equivalent to $(E/M)_{\rm sol}=(E/M)_{\rm halo}$ where $E_{\rm sol (halo)}$ and $M_{\rm sol (halo)}$ are the energy and mass of the soliton (halo). If the halo is approximately virialized, this relation is parametrically similar to the evaporation/growth threshold of Chan et al. 2022, and it thus gives a rough lower bound on the soliton mass. A different relation has been proposed by Mocz et al. 2017, which is equivalent to $E_{\rm sol}=E_{\rm halo}$, so is an upper bound on the soliton mass provided the halo energy can be estimated reliably. Our simulations provide evidence for this picture, and are in broad consistency with the literature, in particular after accounting for ambiguities in the definition of $E_{\rm halo}$ at finite volume.
title Bracketing the soliton-halo relation of ultralight dark matter
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.16202