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With the improved accuracy of neutron star observational data, it isnecessary to derive new equation of state where the crust and the core areconsistently calculated within a unified approach. For this purpose we describenon-uniform matter in the crust of neutron stars employing a compressibleliquid-drop model, where the bulk and the neutron fluid terms are given fromthe same model as the one describing uniform matter present in the core. Wethen generate a set of fifteen unified equations of state for cold catalyzedneutron stars built on realistic modelings of the nuclear interaction, whichbelongs to two main groups: the first one derives from the phenomenologicalSkyrme interaction and the second one from $\chi_{EFT}$ Hamiltonians. Theconfrontation of these model predictions allows us to investigate the modeldependence for the crust properties, and in particular the effect of neutronmatter at low density. The new set of unified equations of state is availableat the CompOSE repository.

Confronting a set of Skyrme and $\chi_{EFT}$ predictions for the crust of neutron stars