Paul Leask (University of Leeds) Isospin asymmetric nuclear matter in the Skyrme model

In this talk we will discuss properties of isospin asymmetric nuclear matter in the generalized Skyrme model.

This is achieved by canonically quantizing the isospin collective degrees of freedom of the recently found multi-wall skyrmion crystal.

We obtain, for the first time, a single 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 semi-empirical mass formula for atomic nuclei.

The symmetry energy also reveals a cusp in its structure below the nuclear saturation point.

This cusp  can be interpreted as the nuclear density whereby the infinite crystalline multi-wall configuration undergoes a phase transition to a finite isolated multi-wall 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.