Neutron star quantum death by small black holes

Neutron stars can be destroyed by black holes at their center accreting material and eventually swallowing the entire star. Here we note that accretion model adopted in literature, based on Bondi or variations thereof, is inadequate for small holes---black whose Schwarzschild radius comparable to, smaller than, neutron's de Broglie wavelength. In this case, quantum mechanical aspects of process cannot neglected, give rise to a completely different rate. We show case seeded collapse bosonic dark matter, electroweak-scale matter particles. fermionic typically would form neutron star are more massive, unless particle mass very large, larger than about ${10}^{10}\text{ }\text{ }\mathrm{GeV}$. calculate lifetime harboring ``small'' hole, find lighter $\ensuremath{\sim}{10}^{11}\text{ }\mathrm{kg}$ quickly evaporate, leaving no trace. More massive destroy via timescales much shorter age observed stars. range where seed inside enough they do not evaporate away, but so fluid picture warranted limited between $\ensuremath{\sim}{10}^{11}$ ${10}^{12}\text{ }\mathrm{kg}$, our results key accurately determine actual critical hole corresponding onset destruction.