Researchers Derive Precise Scaling Relations for Bosonic Dark Matter Stars
A new arXiv preprint presents systematic scaling relations governing the mass, radius, and central density of bosonic dark matter stars composed of self-interacting scalar fields. The study derives these relations from a complex scalar field theory with a quartic self-interaction potential, covering a wide range of boson masses and self-coupling constants. The results provide compact analytical tools that could help constrain dark matter particle properties through astrophysical observations.
Researchers have submitted a preprint to arXiv detailing precise scaling relations for the structural properties of bosonic dark matter stars — hypothetical compact objects made entirely of self-interacting bosonic dark matter. The equation of state is derived from a complex scalar field theory with a quartic self-interaction potential, exploring boson masses from 10⁻⁹ to 10³ GeV and self-coupling constants from 0.01π to 100π. The study yields closed-form expressions for the maximum mass, corresponding critical radius, and critical central density as functions of the boson mass and self-coupling constant, with fitting errors below 4%. Additionally, the authors provide global analytical fits for the full stable branch using a unified functional form, achieving fitting errors below 0.1%. A simple quadratic polynomial mass-radius relation is also identified, which could serve as an observational diagnostic for distinguishing bosonic dark matter stars from other compact objects such as neutron stars.
What's missing
As a preprint, this work has not yet undergone peer review, so the validity of the numerical fits and the physical assumptions underlying the equation of state remain to be independently verified. The study assumes a specific quartic self-interaction potential and does not address how results might change under alternative dark matter models or more general potentials.
What different sources said
- arXiv astro-phCenter
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