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Multi-neutron systems are crucial to understanding the physics ofneutron-rich nuclei and neutron stars. Neutron drops, neutrons confined in anexternal field, are investigated systematically in both non-relativistic andrelativistic density functional theories and with ab initio calculations. Wedemonstrate a strong linear correlation, which is universal in the realm ofmean-field models, between the rms radii of neutron drops and the neutron skinthickness of Pb-208 and Ca-48; i.e., the difference between the neutron andproton rms radii of a nucleus. Due to its high quality, this correlation can beused to deduce the radii of neutron drops from the measured neutron skinthickness in a model-independent way, and the radii obtained for neutron dropscan provide a useful constraint for realistic three neutron forces. Thiscorrelation, together with high- precision measurements of the neutron skinthicknesses of Pb-208 and Ca-48, will have an enduring impact on theunderstanding of multi-neutron interactions, neutron-rich nuclei, neutronstars, etc.

Radii of neutron drops probed via the neutron skin thickness of nuclei