Fuzzy Dark Matter Soliton Cores around Supermassive Black Holes. (arXiv:1908.04790v1 [astro-ph.GA])

<a href="http://arxiv.org/find/astro-ph/1/au:+Davies_E/0/1/0/all/0/1">Elliot Yarnell Davies</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Mocz_P/0/1/0/all/0/1">Philip Mocz</a>

We explore the effect of a supermassive black hole (SMBH) on the density

profile of a fuzzy dark matter (FDM) soliton core at the centre of a dark

matter halo. We numerically solve the Schr”odinger-Poisson equations, treating

the black hole as a gravitational point mass, and demonstrate that this

additional perturbing term has a “squeezing” effect on the soliton density

profile, decreasing the core radius and increasing the central density. In the

limit of large black hole mass, the solution approaches one akin to the

hydrogen atom, with radius inversely proportional to the black hole mass. By

applying our analysis to two specific galaxies (M87 and the Milky Way) and

pairing it with known observational limits on the amount of centrally

concentrated dark matter, we obtain a constraint on the FDM particle mass,

finding that the range $ 10^{-22.2} eV lesssim m lesssim 10^{-21.7} eV $

should be forbidden (taking into account additional factors concerning the

life-time of the soliton in the vicinity of a black hole).

We explore the effect of a supermassive black hole (SMBH) on the density

profile of a fuzzy dark matter (FDM) soliton core at the centre of a dark

matter halo. We numerically solve the Schr”odinger-Poisson equations, treating

the black hole as a gravitational point mass, and demonstrate that this

additional perturbing term has a “squeezing” effect on the soliton density

profile, decreasing the core radius and increasing the central density. In the

limit of large black hole mass, the solution approaches one akin to the

hydrogen atom, with radius inversely proportional to the black hole mass. By

applying our analysis to two specific galaxies (M87 and the Milky Way) and

pairing it with known observational limits on the amount of centrally

concentrated dark matter, we obtain a constraint on the FDM particle mass,

finding that the range $ 10^{-22.2} eV lesssim m lesssim 10^{-21.7} eV $

should be forbidden (taking into account additional factors concerning the

life-time of the soliton in the vicinity of a black hole).

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