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@ARTICLE{Bar:479856,
      author       = {Bar, Nitsan and Blas, Diego and Blum, Kfir and Kim,
                      Hyungjin},
      title        = {{A}ssessing the {F}ornax globular cluster timing problem in
                      different models of dark matter},
      journal      = {Physical review / D},
      volume       = {104},
      number       = {4},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {Inst.},
      reportid     = {PUBDB-2022-03247, arXiv:2102.11522. DESY-21-023.
                      KCL-2021-07},
      pages        = {043021},
      year         = {2021},
      abstract     = {We investigate what the orbits of globular clusters (GCs)
                      in the Fornax dwarf spheroidal (dSph) galaxy can teach us
                      about dark matter (DM). This problem was recently studied
                      for ultralight dark matter (ULDM). We consider two
                      additional models: (i) fermionic degenerate dark matter
                      (DDM), where Pauli blocking should be taken into account in
                      the dynamical friction computation; and (ii)
                      self-interacting dark matter (SIDM). We give a simple and
                      direct Fokker-Planck derivation of dynamical friction, new
                      in the case of DDM and reproducing previous results in the
                      literature for ULDM and cold DM. ULDM, DDM and SIDM were
                      considered in the past as leading to cores in dSphs, a
                      feature that acts to suppress dynamical friction and prolong
                      GC orbits. For DDM we derive a version of the cosmological
                      free streaming limit that is independent of the DM
                      production mechanism, finding that DDM cannot produce an
                      appreciable core in Fornax without violating Ly-α limits.
                      If the Ly-α limit is discounted for some reason, then
                      stellar kinematics data does allow a DDM core which could
                      prolong GC orbits. For SIDM we find that significant
                      prolongation of GC orbits could be obtained for values of
                      the self-interaction cross section considered in previous
                      works. In addition to reassessing the inspiral time using
                      updated observational data, we give a new perspective on the
                      so-called GC timing problem, demonstrating that for a cuspy
                      cold DM profile dynamical friction predicts a z=0 radial
                      distribution for the innermost GCs that is independent of
                      initial conditions. The observed orbits of Fornax GCs are
                      consistent with this expectation with a mild apparent
                      fine-tuning at the level of $∼25\%.$},
      keywords     = {dark matter: production (INSPIRE) / dark matter:
                      interaction (INSPIRE) / orbit (INSPIRE) / cluster (INSPIRE)
                      / boundary condition (INSPIRE) / kinematics (INSPIRE) /
                      capture (INSPIRE) / galaxy (INSPIRE) / Pauli (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project 390833306 - EXC 2121: Quantum Universe (390833306)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2102.11522},
      howpublished = {arXiv:2102.11522},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2102.11522;\%\%$},
      UT           = {WOS:000784620800001},
      doi          = {10.1103/PhysRevD.104.043021},
      url          = {https://bib-pubdb1.desy.de/record/479856},
}