Unified description of corpuscular and fuzzy bosonic dark matter
Abstract
We derive from first principles equations for nonrelativistic bosonic, self-interacting dark matter which can include both a condensed, low momentum "fuzzy" component and one with higher momenta that may be approximated as a collection of particles. The resulting coupled equations consist of a modified Gross-Pitaevskii equation describing the condensate and a kinetic equation describing the higher momentum modes, the "particles," along with the Poisson equation for the gravitational potential sourced by the density of both components. Our derivation utilizes the Schwinger-Keldysh path integral formalism and applies a semiclassical approximation which can also accommodate collisional terms amongst the particles and between the particles and the condensate to second order in the self-coupling strength. The equations can therefore describe both cold dark matter and fuzzy dark matter in a unified way, allowing for the coexistence of both phases and the inclusion of quartic self-interactions.
- Publication:
-
Physical Review D
- Pub Date:
- October 2023
- DOI:
- 10.1103/PhysRevD.108.083513
- arXiv:
- arXiv:2303.02049
- Bibcode:
- 2023PhRvD.108h3513P
- Keywords:
-
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- Condensed Matter - Quantum Gases
- E-Print:
- 22 pages, 6 figures. V2: Final version, accepted in PRD