Abstract
We assess the feasibility of detecting the compact object remnants from
Population III (Pop III) stars in nearby dense star clusters, where they become
luminous again as X-ray binaries (XRBs) and tidal disruption events (TDEs) via
strong tidal encounters. Analytically modelling the formation of Pop III stars,
coupled with a top-heavy initial mass function predicted by numerical
simulations, we derive the number of (active) Pop III XRBs and TDEs in the
present-day Milky Way (MW) nuclear star cluster as $0.06-0.3$ and
$410^-6$, rendering any detection unlikely. The detection
probability, however, can be significantly boosted when surveying all massive
star clusters from the MW and neighboring galaxy clusters. Specifically, we
predict $1.5-6.5$ and $40-2800$ active Pop III XRBs in the MW and the
Virgo cluster, respectively. Our Pop III XRBs are dominated ($99\%$) by
black holes with a typical mass and luminosity of $45$ $M_ødot$ and
$10^36$ $erg\ s^-1$. Deep surveys of nearby ($30-300$
$Mpc$) galaxy clusters for such Pop III XRBs are well within reach of
next-generation X-ray telescopes, such as ATHENA and LYNX.
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