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Neutron tunneling between neutron-rich nuclei in inhomogeneous dense matterencountered in neutron star crusts can release enormous energy on ashort-timescale to power explosive phenomena in neutron stars. In this work weclarify aspects of this process that can occur in the outer regions of neutronstars when oscillations or cataclysmic events increase the ambient density. Weuse a time-dependent Hartree-Fock-Bogoliubov formalism to determine the rate ofneutron diffusion and find that large amounts of energy can be releasedrapidly. The role of nuclear binding, the two-body interaction and pairing, onthe neutron diffusion times is investigated. We consider a one-dimensionalquantum diffusion model and extend our analysis to study the impact ofdiffusion in three-dimensions. We find that these novel neutron transferreactions can generate energy at the amount of $\simeq 10^{40}-10^{44}$ ergsunder suitable conditions.

Neutron tunneling: A new mechanism to power explosive phenomena in neutron stars, magnetars, and neutron star mergers