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  • Open Access

Dynamical reconstruction of SPARC galactic halos within self-interacting fuzzy dark matter

Milos Indjin, I-Kang Liu, Nick P. Proukakis, Gerasimos Rigopoulos, and Aditya Verma

  • School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom

Phys. Rev. D 113, 063512 – Published 4 March, 2026

DOI: https://doi.org/10.1103/6fwq-w9yp

Abstract

Fuzzy dark matter with nonzero quartic self-interaction (SFDM) is shown to be a viable model for simultaneously fitting 17 dark-matter-dominated galaxies from the SPARC database with a single (m,g) point in the space of boson masses and self-coupling constants: log10(m[eV/c2])=log10(1.98)−22−0.6+0.8 and log10(g[eV m3/kg])=log10(9.08)−10−1.2+0.4. This is based on the combination of an appropriately constructed static super-Gaussian profile for the inner galactic core (“soliton”) region, and a Navarro-Frenk-White profile for the surrounding halo region. The explicit identification of a nonzero interaction strength may resolve issues of inconsistent constraints in noninteracting FDM. Our identification of these parameters enables the explicit dynamical reconstruction of potential host halos for such galaxies through numerical solution of the SFDM equations; we outline a proof-of-principle procedure via merger simulations for two galaxies (UGCA444, UGC07866) and show that this yields viable rotation curves over a dynamical period of O(1)  Gyr.

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References (100)

  1. D. J. E. Marsh, Phys. Rep. 643, 1 (2016).
  2. L. Hui, Annu. Rev. Astron. Astrophys. 59, 247 (2021).
  3. E. G. M. Ferreira, Astron. Astrophys. Rev. 29, 7 (2021).
  4. W. Hu, R. Barkana, and A. Gruzinov, Phys. Rev. Lett. 85, 1158 (2000).
  5. H. Y. Schive, T. Chiueh, and T. Broadhurst, Nat. Phys. 10, 496 (2014).
  6. H. Y. Schive, M. H. Liao, T. P. Woo, S. K. Wong, T. Chiueh, T. Broadhurst, and W. Y. Hwang, Phys. Rev. Lett. 113, 261302 (2014).
  7. P. Mocz, M. Vogelsberger, V. H. Robles, J. Zavala, M. Boylan-Kolchin, A. Fialkov, and L. Hernquist, Mon. Not. R. Astron. Soc. 471, 4559 (2017).
  8. D. J. E. Marsh and A. R. Pop, Mon. Not. R. Astron. Soc. 451, 2479 (2015).
  9. T. Bernal, Fernández-Hernández L M, T. Matos, and M. A. Rodríguez-Meza, Mon. Not. R. Astron. Soc. 475, 1447 (2018).
  10. S. C. Lin, H. Y. Schive, S. K. Wong, and T. Chiueh, Phys. Rev. D 97, 103523 (2018).
  11. J. Veltmaat, J. C. Niemeyer, and B. Schwabe, Phys. Rev. D 98, 043509 (2018).
  12. D. G. Levkov, A. G. Panin, and I. I. Tkachev, Phys. Rev. Lett. 121, 151301 (2018).
  13. P. Mocz, A. Fialkov, M. Vogelsberger, F. Becerra, M. A. Amin, S. Bose, M. Boylan-Kolchin, P. H. Chavanis, L. Hernquist, L. Lancaster, F. Marinacci, V. H. Robles, and J. Zavala, Phys. Rev. Lett. 123, 141301 (2019).
  14. S. May and V. Springel, Mon. Not. R. Astron. Soc. 506, 2603 (2021).
  15. T. Dome, A. Fialkov, P. Mocz, B. M. Schäfer, M. Boylan-Kolchin, and M. Vogelsberger, Mon. Not. R. Astron. Soc. 519, 4183 (2022).
  16. T. Matos, L. A. Ure na-López, and J. W. Lee, Front. Astron. Space Sci. 11, 1347518 (2024).
  17. C. A. J. O’Hare, Proc. Sci. COSMICWISPers (2024) 040 [arXiv:2403.17697].
  18. H. Y. J. Chan, E. G. M. Ferreira, S. May, K. Hayashi, and M. Chiba, Mon. Not. R. Astron. Soc. 511, 943 (2022).
  19. T. D. Yavetz, X. Li, and L. Hui, Phys. Rev. D 105, 023512 (2022).
  20. I. K. Liu, N. P. Proukakis, and G. Rigopoulos, Mon. Not. R. Astron. Soc. 521, 3625 (2023).
  21. C. G. Böhmer and T. Harko, J. Cosmol. Astropart. Phys. 06 (2007) 025.
  22. P. H. Chavanis, Phys. Rev. D 84, 043531 (2011).
  23. P. H. Chavanis and L. Delfini, Phys. Rev. D 84, 043532 (2011).
  24. T. Harko, Phys. Rev. D 83, 123515 (2011).
  25. T. Rindler-Daller and P. R. Shapiro, Mod. Phys. Lett. A 29, 1430002 (2014).
  26. B. Li, P. R. Shapiro, and T. Rindler-Daller, Phys. Rev. D 96, 063505 (2017).
  27. V. Desjacques, A. Kehagias, and A. Riotto, Phys. Rev. D 97, 023529 (2018).
  28. T. Dawoodbhoy, P. R. Shapiro, and T. Rindler-Daller, Mon. Not. R. Astron. Soc. 506, 2418 (2021).
  29. P. R. Shapiro, T. Dawoodbhoy, and T. Rindler-Daller, Mon. Not. R. Astron. Soc. 509, 145 (2021).
  30. N. Glennon and C. Prescod-Weinstein, Phys. Rev. D 104, 083532 (2021).
  31. S. T. Hartman, H. A. Winther, and D. F. Mota, J. Cosmol. Astropart. Phys. 02 (2022) 005.
  32. K. Kirkpatrick, A. E. Mirasola, and C. Prescod-Weinstein, Phys. Rev. D 106, 043512 (2022).
  33. J. Chen, X. Du, E. W. Lentz, and D. J. E. Marsh, Phys. Rev. D 106, 023009 (2022).
  34. S. Chakrabarti, B. Dave, K. Dutta, and G. Goswami, J. Cosmol. Astropart. Phys. 09 (2022) 074.
  35. M. Indjin, I. K. Liu, N. P. Proukakis, and G. Rigopoulos, Phys. Rev. D 109, 103518 (2024).
  36. A. Amruth et al., Nat. Astron. 7, 736 (2023).
  37. P. Mocz, A. Fialkov, M. Vogelsberger, M. Boylan-Kolchin, P. H. Chavanis, M. A. Amin, S. Bose, T. Dome, L. Hernquist, L. Lancaster, M. Notis, C. Painter, V. H. Robles, and J. Zavala, Mon. Not. R. Astron. Soc. 521, 2608 (2023).
  38. C. A. Painter, M. Boylan-Kolchin, P. Mocz, and M. Vogelsberger, Mon. Not. R. Astron. Soc. 533, 2454 (2024).
  39. I. G. Moss, arXiv:2407.13243.
  40. H. H. S. Chiu, H. Y. Schive, H. Y. K. Yang, H. Huang, and M. Gaspari, Phys. Rev. Lett. 134, 051402 (2025).
  41. See, e.g., [42, 43] and references therein for constraints on m from different observations.

  42. C. A. Painter, M. Boylan-Kolchin, P. Mocz, and M. Vogelsberger, Mon. Not. R. Astron. Soc. 533, 2454 (2024).
  43. S. Elgamal, M. Nori, A. V. Macciò, M. Baldi, and S. Waterval, Mon. Not. R. Astron. Soc. 532, 4050 (2024).
  44. J. F. Navarro, C. S. Frenk, and S. D. M. White, Astrophys. J. 490, 493 (1997).
  45. V. H. Robles, J. S. Bullock, and M. Boylan-Kolchin, Mon. Not. R. Astron. Soc. 483, 289 (2018).
  46. J. Meinert and R. Hofmann, Universe 7, 198 (2021).
  47. M. Khelashvili, A. Rudakovskyi, and S. Hossenfelder, Mon. Not. R. Astron. Soc. 523, 3393 (2023).
  48. A. Bañares Hernández, A. Castillo, J. Martin Camalich, and G. Iorio, Astron. Astrophys. 676, A63 (2023).
  49. N. Bar, D. Blas, K. Blum, and S. Sibiryakov, Phys. Rev. D 98, 083027 (2018).
  50. A. Maleki, S. Baghram, and S. Rahvar, Phys. Rev. D 101, 103504 (2020).
  51. N. Bar, K. Blum, and C. Sun, Phys. Rev. D 105, 083015 (2022).
  52. I. Álvarez-Rios, T. Bernal, P. H. Chavanis, and F. S. Guzmán, Phys. Rev. D 110, 063502 (2024).
  53. A. Burkert, Astrophys. J. 447, L25 (1995).
  54. P. H. Chavanis, Phys. Rev. D 107, 103503 (2023).
  55. M. Stallovits and T. Rindler-Daller, Phys. Rev. D 111, 023046 (2025).
  56. M. Indjin, N. Keepfer, I. K. Liu, N. P. Proukakis, and G. Rigopoulos, arXiv:2507.00293.
  57. J. N. López-Sánchez, E. Munive-Villa, and T. Rindler-Daller, arXiv:2512.07020.
  58. F. Lelli, S. S. McGaugh, and J. M. Schombert, Astron. J. 152, 157 (2016).
  59. E. Castellanos, C. Escamilla-Rivera, and J. Mastache, Int. J. Mod. Phys. D 29, 2050063 (2020).
  60. M. Crăciun and T. Harko, Eur. Phys. J. C 80, 735 (2020).
  61. M. H. Chan and C. Fai Yeung, Astrophys. J. 913, 25 (2021).
  62. L. Street, N. Y. Gnedin, and L. C. R. Wijewardhana, Phys. Rev. D 106, 043007 (2022).
  63. V. Delgado and A. Muñoz Mateo, Mon. Not. R. Astron. Soc. 518, 4064 (2022).
  64. B. Dave and G. Goswami, J. Cosmol. Astropart. Phys. 07 (2023) 015.
  65. Note that [64] uses natural ℏ=c=1 units. In the units used in our work, g=λm3ℏ3c∼λ×4.33×1081  eV m3/kg for m=10−22  eV/c2 where λ is the self-coupling constant of Ref. [64].

  66. The solitonic core often exhibits small oscillations [11, 20, 22, 35, 67, 68, 69, 70, 71].

  67. F. S. Guzmán and L. A. Ure na López, Phys. Rev. D 69, 124033 (2004).
  68. H. Y. Schive, T. Chiueh, and T. Broadhurst, Phys. Rev. Lett. 124, 201301 (2020).
  69. D. D. Chowdhury, F. C. v. d. Bosch, V. H. Robles, P. v. Dokkum, H. Y. Schive, T. Chiueh, and T. Broadhurst, Astrophys. J. 916, 27 (2021).
  70. X. Li, L. Hui, and T. D. Yavetz, Phys. Rev. D 103, 023508 (2021).
  71. B. T. Chiang, H. Y. Schive, and T. Chiueh, Phys. Rev. D 103, 103019 (2021).
  72. Stürmer P, M. N. Tengstrand, R. Sachdeva, and S. M. Reimann, Phys. Rev. A 103, 053302 (2021).
  73. P. Li, F. Lelli, S. McGaugh, and J. Schombert, Astrophys. J. Suppl. Ser. 247, 31 (2020).
  74. The parameter rh relates to the mass distribution far from the solitonic core. While it can be fixed by a core-halo mass relation [14, 18, 75, 76], the existing ambiguity in this relation [18] allows us to perform our numerical search with rh as a practically free parameter, subsequently constrained by our fit criteria.

  75. A. Taruya and S. Saga, Phys. Rev. D 106, 103532 (2022).
  76. H. Kawai, A. Kamada, K. Kamada, and N. Yoshida, Phys. Rev. D 110, 023519 (2024).
  77. S. S. McGaugh and J. M. Schombert, Astron. J. 148, 77 (2014).
  78. The impact of periodic boundary conditions on such simulations has been discussed in [79], with our stated condition ρ(r=0)/ρ(r=L)≈104 necessary to minimize any effect.

  79. I. Álvarez-Rios, F. S. Guzmán, and P. R. Shapiro, Phys. Rev. D 107, 123524 (2023).
  80. P. H. Chavanis, Phys. Rev. D 103, 123551 (2021).
  81. T. Rindler-Daller, Front. Astron. Space Sci. 10, 142 (2023).
  82. E. Jones, T. Oliphant, P. Peterson et al., scipy: Open source scientific tools for python (2001), URL http://www.scipy.org/.
  83. Note that this should not to be strictly interpreted as a probability distribution, as we are not necessarily sampling the underlying space uniformly with our constructed degeneracy curves.

  84. T. Zimmermann, J. Alvey, D. J. E. Marsh, M. Fairbairn, and J. I. Read, arXiv:2405.20374.
  85. Y. M. Yang, X. J. Bi, and P. F. Yin, arXiv:2412.08372.
  86. M. Nori and M. Baldi, Mon. Not. R. Astron. Soc. 501, 1539 (2020).
  87. M. Mina, D. F. Mota, and H. A. Winther, Astron. Astrophys. 662, A29 (2022).
  88. J. L. Zagorac, E. Kendall, N. Padmanabhan, and R. Easther, Phys. Rev. D 107, 083513 (2023).
  89. P. Y. Liao, G. M. Su, H. Y. Schive, A. Kunkel, H. Huang, and T. Chiueh, Phys. Rev. Lett. 135, 061002 (2025).
  90. K. Blum, M. Gorghetto, E. Hardy, and L. Teodori, J. Cosmol. Astropart. Phys. 06 (2025) 050.
  91. B. Eggemeier and J. C. Niemeyer, Phys. Rev. D 100, 063528 (2019).
  92. J. Chen, X. Du, E. W. Lentz, D. J. Marsh, and J. C. Niemeyer, Phys. Rev. D 104, 083022 (2021).
  93. N. P. Proukakis, G. Rigopoulos, and A. Soto, Phys. Rev. D 110, 023504 (2024).
  94. K. K. Rogers and H. V. Peiris, Phys. Rev. Lett. 126, 071302 (2021).
  95. E. V. Karukes and P. Salucci, Mon. Not. R. Astron. Soc. 465, 4703 (2016).
  96. P. Salucci, Astron. Astrophys. Rev. 27, 2 (2019).
  97. A. Burkert, Astrophys. J. 904, 161 (2020).
  98. J. S. Almeida, Galaxies 13, 6 (2025).
  99. R. Freund and W. Wilson, Statistical Methods (Academic Press, New York, 2003), p. 559, ISBN [Amazon][WorldCat].
  100. M. Indjin, N. Proukakis, Gerasimos Rigopoulos, Aditya Verma, and I-Kang Liu, Dynamical reconstruction of SPARC galactic halos within self-interacting fuzzy dark matter, 10.25405/data.ncl.31293565.

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