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Granular Structure and Local de Broglie Wavelength in Fuzzy Dark Matter Halos

Abstract

We study the granular structure that emerges in a Fuzzy Dark Matter (FDM) halo formed through kinetic relaxation. After the system reaches a virialized core-halo structure, we separate the density field into a smooth spherical component and a residual density that contains the interference pattern characteristic of FDM halos. The power spectrum of this residual field shows a well defined dominant scale, different from the characteristic scale of the total density and of the smooth core-halo model. We compare this granular scale with a local de Broglie wave-lenght calculated from the velocity field obtained from the density current of the system. We find that both scales remain of the same order of magnitude, with the granular scale systematically smaller than the de Broglie wavelength. The radial behavior of the de Broglie wavelength also reveals a non-uniform internal structure, it decreases from the core and reaches its minimum near the transition between the solitonic core and the outer halo. These results provide a quantitative connection between density fluctuations, the local velocity field, and the core-halo morphology of FDM halos.

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BibTeX
@misc{rosalesinfante2026granular,
  title = {{Granular Structure and Local de Broglie Wavelength in Fuzzy Dark Matter Halos}},
  author = {Flavio Rosales-Infante and Alejandro Quiñonez-Guerrero and Iván Álvarez-Rios and Francisco S. Guzmán},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21135},
  eprint = {2609.21135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21135},
}
RIS
TY  - UNPB
TI  - Granular Structure and Local de Broglie Wavelength in Fuzzy Dark Matter Halos
AU  - Flavio Rosales-Infante
AU  - Alejandro Quiñonez-Guerrero
AU  - Iván Álvarez-Rios
AU  - Francisco S. Guzmán
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.21135
UR  - https://arxiv.org/abs/2609.21135
AB  - We study the granular structure that emerges in a Fuzzy Dark Matter (FDM) halo formed through kinetic relaxation. After the system reaches a virialized core-halo structure, we separate the density field into a smooth spherical component and a residual density that contains the interference pattern characteristic of FDM halos. The power spectrum of this residual field shows a well defined dominant scale, different from the characteristic scale of the total density and of the smooth core-halo model. We compare this granular scale with a local de Broglie wave-lenght calculated from the velocity field obtained from the density current of the system. We find that both scales remain of the same order of magnitude, with the granular scale systematically smaller than the de Broglie wavelength. The radial behavior of the de Broglie wavelength also reveals a non-uniform internal structure, it decreases from the core and reaches its minimum near the transition between the solitonic core and the outer halo. These results provide a quantitative connection between density fluctuations, the local velocity field, and the core-halo morphology of FDM halos.
ER  -