Abstract:Abstract. This is a review on the brief history of the scalar field dark matter model also known as fuzzy dark matter, BEC dark matter, wave dark matter, or ultra-light axion. In this model ultra-light scalar dark matter particles with mass m = O(10 −22 )eV condense in a single Bose-Einstein condensate state and behave collectively like a classical wave. Galactic dark matter halos can be described as a self-gravitating coherent scalar field configuration called boson stars. At the scale larger than galaxies th… Show more
“…Accordingly, for the DM halos considered by Davies and Mocz [44], with mass M v = 10 12 M (Milky Way) and M v = 2×10 14 M (elliptical galaxy in the Virgo cluster), the presence of the SMBH is expected to change the value of the core mass (especially in the second case), except if it forms after the quantum core as assumed by these authors. 13 The same conclusion is reached in the case of fermions for which (M h ) * ,F = 2.31 × 10 12 M . By contrast, for self-interacting bosons in the TF limit, we find that the effect of the BH becomes important for DM halos of mass (M h ) * ,TF = 6.92 × 10 14 M .…”
We study the core mass -halo mass relation of bosonic dark matter halos, in the form of selfgravitating Bose-Einstein condensates, harbouring a supermassive black hole. We use the "velocity dispersion tracing" relation according to which the velocity dispersion in the core v 2 c ∼ GMc/Rc is of the same order as the velocity dispersion in the halo v 2 h ∼ GM h /r h (this relation can be justified from thermodynamical arguments) and the approximate analytical mass-radius relation of the quantum core in the presence of a central black hole obtained in our previous paper [P.H. Chavanis, Eur. Phys. J. Plus 134, 352 (2019)]. For a given minimum halo mass (M h )min ∼ 10 8 M determined by the observations, the only free parameter of our model is the scattering length as of the bosons (their mass m is then determined by the characteristics of the minimum halo). For noninteracting bosons and for bosons with a repulsive self-interaction, we find that the core mass Mc increases with the halo mass M h and achieves a maximum value (Mc)max at some halo mass (M h ) * before decreasing. The whole series of equilibria is stable. For bosons with an attractive self-interaction, we find that the core mass achieves a maximum value (Mc)max at some halo mass (M h ) * before decreasing. The series of equilibria becomes unstable above a maximum halo mass (M h )max ≥ (M h ) * . In the absence of black hole (M h )max = (M h ) * . At that point, the quantum core (similar to a dilute axion star) collapses. We perform a similar study for fermionic dark matter halos. We find that they behave similarly to bosonic dark matter halos with a repulsive self-interaction, the Pauli principle for fermions playing the role of the repulsive self-interaction for bosons. PACS numbers: 95.30.Sf, 95.35.+d, 98.62.Gq
“…Accordingly, for the DM halos considered by Davies and Mocz [44], with mass M v = 10 12 M (Milky Way) and M v = 2×10 14 M (elliptical galaxy in the Virgo cluster), the presence of the SMBH is expected to change the value of the core mass (especially in the second case), except if it forms after the quantum core as assumed by these authors. 13 The same conclusion is reached in the case of fermions for which (M h ) * ,F = 2.31 × 10 12 M . By contrast, for self-interacting bosons in the TF limit, we find that the effect of the BH becomes important for DM halos of mass (M h ) * ,TF = 6.92 × 10 14 M .…”
We study the core mass -halo mass relation of bosonic dark matter halos, in the form of selfgravitating Bose-Einstein condensates, harbouring a supermassive black hole. We use the "velocity dispersion tracing" relation according to which the velocity dispersion in the core v 2 c ∼ GMc/Rc is of the same order as the velocity dispersion in the halo v 2 h ∼ GM h /r h (this relation can be justified from thermodynamical arguments) and the approximate analytical mass-radius relation of the quantum core in the presence of a central black hole obtained in our previous paper [P.H. Chavanis, Eur. Phys. J. Plus 134, 352 (2019)]. For a given minimum halo mass (M h )min ∼ 10 8 M determined by the observations, the only free parameter of our model is the scattering length as of the bosons (their mass m is then determined by the characteristics of the minimum halo). For noninteracting bosons and for bosons with a repulsive self-interaction, we find that the core mass Mc increases with the halo mass M h and achieves a maximum value (Mc)max at some halo mass (M h ) * before decreasing. The whole series of equilibria is stable. For bosons with an attractive self-interaction, we find that the core mass achieves a maximum value (Mc)max at some halo mass (M h ) * before decreasing. The series of equilibria becomes unstable above a maximum halo mass (M h )max ≥ (M h ) * . In the absence of black hole (M h )max = (M h ) * . At that point, the quantum core (similar to a dilute axion star) collapses. We perform a similar study for fermionic dark matter halos. We find that they behave similarly to bosonic dark matter halos with a repulsive self-interaction, the Pauli principle for fermions playing the role of the repulsive self-interaction for bosons. PACS numbers: 95.30.Sf, 95.35.+d, 98.62.Gq
“…This fuzzy dark matter has a Compton wavelength on the order of the size of dwarf galaxies, which circumvents potential problems associated with structure formation from standard cold dark matter [52][53][54][55][56][57][58][59]. In addition, recent measurements suggest there are slight excesses in the cooling of white dwarfs that could be explained by the addition of ultralight axions [60].…”
Axionlike particles are promising candidates to make up the dark matter of the Universe, but it is challenging to design experiments that can detect them over their entire allowed mass range. Dark matter in general, and, in particular, axionlike particles and hidden photons, can be as light as roughly 10 −22 eV (∼10 −8 Hz), with astrophysical anomalies providing motivation for the lightest masses ("fuzzy dark matter"). We propose experimental techniques for direct detection of axionlike dark matter in the mass range from roughly 10 −13 eV (∼10 2 Hz) down to the lowest possible masses. In this range, these axionlike particles act as a time-oscillating magnetic field coupling only to spin, inducing effects such as a timeoscillating torque and periodic variations in the spin-precession frequency with the frequency and direction of these effects set by the axion field. We describe how these signals can be measured using existing experimental technology, including torsion pendulums, atomic magnetometers, and atom interferometry. These experiments demonstrate a strong discovery capability, with future iterations of these experiments capable of pushing several orders of magnitude past current astrophysical bounds.
“…The traditional fields that follow this pattern are axion-like particles and dilatons [1][2][3][4][5][6][7]. However, with these same assumptions, nearly the same late Universe cosmological evolution and phenomenology can be obtained from a massive vector or spin-2 tensor field, as shown respectively in [8][9][10][11][12][13][14] and [15,16] 2 .…”
Binary pulsars can be excellent probes of ultra-light dark matter. We consider the scenario where the latter is represented by a spin-2 field. The coherent oscillations of the dark matter field perturb the dynamics of binary systems, leading to secular effects for masses that resonate with the binary systems. For the range 10 −23 eV m 10 −17 eV we show that current timing data could potentially constrain the universal coupling strength of dark matter to ordinary matter at the level of α 10 −5 . :1909.13814v1 [astro-ph.HE]
arXiv
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