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

Yavetz, Tomer D.; Li, Xinyu; Hui, Lam

doi:10.1103/physrevd.105.023512

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

Journal Article · 10 January 2022 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.105.023512 · OSTI ID:1980009

^[1]; Li, Xinyu ^[2]; Hui, Lam ^[3]

Columbia University, New York, NY (United States); OSTI
Canadian Institute for Theoretical Astrophysics, Toronto (Canada); Canada and Perimeter Institute for Theoretical Physics, Waterloo (Canada)
Columbia University, New York, NY (United States)

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.

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Research Organization:: Columbia University, New York, NY (United States)

Sponsoring Organization:: Government of Canada; Jeffrey L. Bishop Fellowship; Ministry of Colleges and Universities; National Institutes of Health (NIH); National Science Foundation (NSF); Natural Sciences and Engineering Research Council of Canada (NSERC); New York State Empire State Development, Division of Science Technology and Innovation (NYSTAR); Simons Fellowship; USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941

OSTI ID:: 1980009

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 2 Vol. 105; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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