15 research outputs found
Stable vortex structures in colliding self-gravitating Bose-Einstein condensates
A key feature of ultra-light dark matter composed by bosons is the formation
of superfluid Bose-Einstein condensate (BEC) structures on galactic scales. We
study collisions of BEC solitonic and vortex structures in the framework of the
Gross-Pitaevskii-Poisson model. It is found that the superfluid nature of
bosonic dark matter leads to the formation of quantized vortex lines and vortex
rings in interference patterns formed during collisions. Calculating the
gravitational wave luminosity, we demonstrated that quantum interference
patterns affect notably the gravitational wave radiation.
We reveal that superfluid self-gravitating BECs can form stable localized
vortex structures which remain robust even after a head-on collision.Comment: 9 pages, 8 figure
Improved convergence of scattering calculations in the oscillator representation
The Schr\"odinger equation for two and tree-body problems is solved for
scattering states in a hybrid representation where solutions are expanded in
the eigenstates of the harmonic oscillator in the interaction region and on a
finite difference grid in the near-- and far--field. The two representations
are coupled through a high--order asymptotic formula that takes into account
the function values and the third derivative in the classical turning points.
For various examples the convergence is analyzed for various physics problems
that use an expansion in a large number of oscillator states. The results show
significant improvement over the JM-ECS method [Bidasyuk et al, Phys. Rev. C
82, 064603 (2010)]