On the capture of dark matter by neutron stars

TL;DR

This paper investigates how self-interacting bosonic dark matter accumulates in neutron stars, revealing that self-interactions significantly enhance dark matter capture and can set stringent new limits on dark matter properties.

Contribution

It provides a detailed calculation of dark matter accumulation in neutron stars considering self-interactions and proposes new exclusion regions for dark matter parameters based on astrophysical observations.

Findings

Self-interactions accelerate dark matter accumulation in neutron star cores.

Potential to exclude dark matter-nucleon cross sections much stronger than current limits.

Self-interaction cross section limits are orders of magnitude below Bullet Cluster constraints.

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 $m_\chi$ less than approximately 10 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. The potential exclusion region for dark matter self-interaction cross sections is many orders of magnitude stronger than the current Bullet Cluster limit. For example, for high dark matter density regions, we find that for $m_\chi\sim 10$ GeV when the dark matter interaction cross section with the nucleons ranges from $\sigma_{\chi n}\sim 10^{-52}$ cm$^2$ to $10^{-57}$ cm$^2$, the dark matter self-interaction cross section limit is $\sigma_{\chi\chi}< 10^{-33}$ cm$^2$, which is about ten orders of magnitude stronger than the Bullet Cluster limit.