Vortex reconnections in BEC/superfluid dark-matter cores can transfer at most 0.06–4.5% of the virial energy in 10 Gyr under fiducial assumptions, so they cannot appreciably restructure the core.
A matching theory to characterize sound emission during vortex reconnection in quantum fluids
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abstract
In a concurrent work, Villois et al. 2020 reported the evidence that vortex reconnections in quantum fluids follow an irreversible dynamics, namely vortices separate faster than they approach; such time-asymmetry is explained by using simple conservation arguments. In this work we develop further these theoretical considerations and provide a detailed study of the vortex reconnection process for all the possible geometrical configurations of the order parameter (superfluid) wave function. By matching the theoretical description of incompressible vortex filaments and the linear theory describing locally vortex reconnections, we determine quantitatively the linear momentum and energy exchanges between the incompressible (vortices) and the compressible (density waves) degrees of freedom of the superfluid. We show theoretically and corroborate numerically, why a unidirectional density pulse must be generated after the reconnection process and why only certain reconnecting angles, related to the rates of approach and separations, are allowed. Finally, some aspects concerning the conservation of centre-line helicity during the reconnection process are discussed.
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astro-ph.GA 1years
2026 1verdicts
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Vortex-reconnection energy bounds in Bose-Einstein-condensed and superfluid dark matter halos
Vortex reconnections in BEC/superfluid dark-matter cores can transfer at most 0.06–4.5% of the virial energy in 10 Gyr under fiducial assumptions, so they cannot appreciably restructure the core.