New calculations of $\beta$-delayed neutron emission

$\beta$-delayed neutron emission probabilities (Pn-values) are important inputs for nuclear astrophysics applications. We present a new model of $\beta$-delayed neutron emission which combines QRPA and statistical decay calculations. This approach uses microscopic nuclear structure information which starts with Gamow-Teller strength distributions in the daughter nucleus, and then follows the statistical decay until the initial available excitation energy is exhausted. Explicitly included at each neutron emission stage is $\gamma$-ray competition. One consequence of this formalism is a prediction of more neutrons on average being emitted after $\beta$-decay for neutron-rich nuclei towards the neutron dripline. The framework presented here also enables us to extend our calculations to beta-delayed fission and pre-scission neutron emission. We discuss implications of larger Pn-values and new $\beta$-delayed fission rates for the astrophysical $r$ process of nucleosynthesis.