“…If the particles constituting DM are Bosons, for sufficiently small particle masses, the number density is allowed to be so large that a classical wave description is valid (see [9,10,[30][31][32][33][34][35][36][37][38] and references therein). This so-called Ultra-Light Dark Matter (ULDM) or Fuzzy Dark Matter (FDM) (in the absence of self-interactions) will lead to unique wave-like observational signatures at galactic scales while behaving like Cold Dark Matter (CDM) at larger scales [39][40][41][42] (also see [11][12][13] for recent reviews), and can potentially solve small-scale issues with CDM [43].…”
It is well-known that Dark Matter (DM) inside a satellite galaxy orbiting a host halo experiences a tidal potential. If DM is ultra-light, given its wave-like nature, one expects it to tunnel out of the satellite — if this happens sufficiently quickly, then the satellite will not survive over cosmological timescales, severely constraining this dark matter model.
In this paper, we study the effects of the inevitable quartic self-interaction of scalar Ultra-Light Dark Matter (ULDM) on the lifetimes of satellite galaxies by looking for quasi-stationary solutions with outgoing wave boundary conditions.
For a satellite with some known core mass and orbital period, we find that, attractive (repulsive) self-interactions decrease (increase) the rate of tunnelling of DM out of it.
In particular, for satellite galaxies with core mass ∼𝒪(107–108) M⊙ and orbital period ∼𝒪(1) Gyr, one can impose constraints on the strength of self-interactions as small as λ∼𝒪(10-92). For instance, for ULDM mass m = 10-22 eV, the existence of the Fornax dwarf galaxy necessitates attractive self-interactions with λ≲ -2.12 × 10-91.
“…If the particles constituting DM are Bosons, for sufficiently small particle masses, the number density is allowed to be so large that a classical wave description is valid (see [9,10,[30][31][32][33][34][35][36][37][38] and references therein). This so-called Ultra-Light Dark Matter (ULDM) or Fuzzy Dark Matter (FDM) (in the absence of self-interactions) will lead to unique wave-like observational signatures at galactic scales while behaving like Cold Dark Matter (CDM) at larger scales [39][40][41][42] (also see [11][12][13] for recent reviews), and can potentially solve small-scale issues with CDM [43].…”
It is well-known that Dark Matter (DM) inside a satellite galaxy orbiting a host halo experiences a tidal potential. If DM is ultra-light, given its wave-like nature, one expects it to tunnel out of the satellite — if this happens sufficiently quickly, then the satellite will not survive over cosmological timescales, severely constraining this dark matter model.
In this paper, we study the effects of the inevitable quartic self-interaction of scalar Ultra-Light Dark Matter (ULDM) on the lifetimes of satellite galaxies by looking for quasi-stationary solutions with outgoing wave boundary conditions.
For a satellite with some known core mass and orbital period, we find that, attractive (repulsive) self-interactions decrease (increase) the rate of tunnelling of DM out of it.
In particular, for satellite galaxies with core mass ∼𝒪(107–108) M⊙ and orbital period ∼𝒪(1) Gyr, one can impose constraints on the strength of self-interactions as small as λ∼𝒪(10-92). For instance, for ULDM mass m = 10-22 eV, the existence of the Fornax dwarf galaxy necessitates attractive self-interactions with λ≲ -2.12 × 10-91.
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