Neutron star constraints on asymmetric bosonic dark matter

Given observations of old neutron stars, neutron stars can be used to constrain models of particle dark matter. We evaluate the rate of capture of asymmetric bosonic dark matter by a typical neutron star including interactions of dark matter with both neutrons and with accumulated dark matter. Asymmetric dark matter does not permit dark matter annihilations. We consider the case where dark matter thermalization in the neutron star is slow. The parameter space of dark matter mass, the dark matter cross section with neutrons and the dark matter self-interaction cross section is constrained.