How the uncertain neutron drip line changes the mix of nuclei in supernova matter
This paper studies how the poorly known limit of nuclear stability called the neutron drip line affects the mix of particles inside collapsing stars. The neutron drip line marks the heaviest neutron-rich isotopes that can bind; beyond it, extra neutrons become unbound. In supernova cores and neutron-star crusts, matter becomes very neutron rich and hot, so whether certain neutron-rich nuclei exist or not matters for the overall composition.
The authors use a nuclear statistical equilibrium (NSE) model that treats free protons and neutrons, light clusters (like hydrogen and helium isotopes), and heavy nuclei in thermal and chemical balance. Their version of NSE includes mean-field interactions for both the free nucleons and the clusters, finite-size effects such as surface and Coulomb energies, and a subtraction step meant to avoid double-counting unbound continuum states. The underlying nuclear input is taken from a meta-model of the equation of state using the SLy5 parameter set.
To test the role of drip-line physics they run three nuclear ensembles. One ensemble includes only isotopes within a standard experimental drip line. A second allows heavier nuclei with neutron numbers up to twice the standard drip line. The third includes every isotope that is energetically bound according to the chosen nuclear functional. Light H and He isotopes are included to small mass numbers in the first two ensembles and to larger numbers in the third.
Their key result is that when more neutron-rich nuclei are allowed, especially at low proton fraction and at higher sub-saturation densities, the model favors the formation of very neutron-rich light clusters. Those clusters soak up neutrons that would otherwise remain free. As a result the free-neutron density drops and the average charge fraction of heavy nuclei is reduced. In other words, extending the drip line can shift baryons from the free neutron gas into bound, neutron-rich clusters.