Construction of wave dark matter halos: Numerical algorithm and analytical constraints

Here we present a wave generalization of the classic Schwarzschild method for constructing self-consistent halos—such a halo consists of a suitable superposition of waves instead of particle orbits, chosen to yield a desired mean density profile. As an illustration, the method is applied to spherica...

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Bibliographic Details
Published in:	Physical review. D Vol. 105; no. 2
Main Authors:	Yavetz, Tomer D., Li, Xinyu, Hui, Lam
Format:	Journal Article
Language:	English
Published:	United States American Physical Society (APS) 10.01.2022
Subjects:	ASTRONOMY AND ASTROPHYSICS cosmology dark matter formation and evolution of stars and galaxies PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ISSN:	2470-0010, 2470-0029
Online Access:	Get full text
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Summary:	Here we present a wave generalization of the classic Schwarzschild method for constructing self-consistent halos—such a halo consists of a suitable superposition of waves instead of particle orbits, chosen to yield a desired mean density profile. As an illustration, the method is applied to spherically symmetric halos. We derive an analytic relation between the particle distribution function and the wave superposition amplitudes and show how it simplifies in the high-energy (WKB) limit. We verify the stability of such constructed halos by numerically evolving the Schrödinger-Poisson system. The algorithm provides an efficient and accurate way to simulate the time-dependent halo substructures from wave interference. We use this method to construct halos with a variety of density profiles, all of which have a core from the ground-state wave function, though the core-halo relation need not be the standard one.
Bibliography:	SC0011941; 1G20RR030893-01; C090171; DGE-1644869; AST-1715582 USDOE Office of Science (SC) Natural Sciences and Engineering Research Council of Canada (NSERC) New York State Empire State Development, Division of Science Technology and Innovation (NYSTAR) Ministry of Colleges and Universities National Institutes of Health (NIH) Government of Canada Simons Fellowship National Science Foundation (NSF) Jeffrey L. Bishop Fellowship
ISSN:	2470-0010 2470-0029
DOI:	10.1103/PhysRevD.105.023512