Generalized skyrmion crystals with applications to neutron stars

In this article we study properties of isospin asymmetric nuclear matter in the generalized L₀₂₄₆-Skyrme model. This is achieved by canonically quantizing the isospin collective degrees of freedom of the recently found skyrmion multiwall crystal. We obtain, for the first time, an equation of state from the Skyrme model which interpolates between infinite isospin asymmetric nuclear matter and finite isospin symmetric atomic nuclei. This enables us to describe neutron stars with crusts within the Skyrme framework. Furthermore, we observe that the symmetry energy tends to a constant value at zero density, which can be identified with the asymmetry coefficient in the semiempirical mass formula for atomic nuclei. The symmetry energy also reveals a cusp in its structure below the nuclear saturation point n₀ at n ͙ ~ 3n₀/4. This cusp density point n can be interpreted as the nuclear density whereby the infinite crystalline multiwall configuration undergoes a phase transition to a finite isolated multiwall configuration. Both of these observations are observed to be generic features of skyrmion crystals that tend asymptotically to somewhat isolated skyrmion configurations in the zero density limit. We find that the resulting neutron stars from our study agree quite well with recent NICER/LIGO observational data