Misc,

On the capture of dark matter by neutron stars

, , , and .
(2012)cite arxiv:1201.2400Comment: 12 pages, 9 figures, change in treatment of dark matter collapse in neutron star, conclusions changed.

Abstract

We calculate the number of dark matter particles that a neutron star accumulates over its lifetime as it rotates around the center of a galaxy, when the dark matter particle is a self-interacting boson but does not self-annihilate. We take into account dark matter interactions with baryonic matter and the time evolution of the dark matter sphere as it collapses within the neutron star. We show that dark matter self-interactions play an important role in the rapid accumulation of dark matter in the core of the neutron star. We consider the possibility of determining an exclusion region of the parameter space for dark matter mass and dark matter interaction cross sections based on the observation of old neutron stars with strong dark matter self-interactions. We show that for a dark matter density of $~10^3$ GeV/cm$^3$ and dark matter mass $m_\chi10$ GeV, there is a potential exclusion region for dark matter interactions with nucleons that is three orders of magnitude more stringent than without self-interactions, and for dark matter self-interactions that is many orders of magnitude stronger than the current Bullet Cluster limit.

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