Year: 2022
Type: article
Abstract: 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 Schr\"odinger-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.
Authors: Tomer D. Yavetz, Xinyu Li, Lam Hui
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, New York State Foundation for Science, Technology and Innovation, Columbia University, Innovation, Science and Economic Development Canada, Government of Canada, Institut Périmètre de physique théorique, Ministry of Colleges and Universities, National Institutes of Health, Natural Sciences and Engineering Research Council of Canada
OpenAlex ID: W3201526352