Dense matter equation of state and phase transitions from a generalized Skyrme model

Skyrmion crystals are the field configurations which minimize energy per baryon in infinitely large topological charge sector of Skyrme model, at least for sufficiently high density. They are, therefore, an important tool to describe ground state cold, symmetric nuclear matter density regimes. In this work, we analyze different crystalline phases and existence phase transitions between them within generalized with ultimate goal describing a wide regime densities. Furthermore, propose new energy-minimizing densities lower than saturation point (${n}_{0}$) that also presents good qualitative behavior zero limit, thereby improving description strongly interacting region $n<{n}_{0}$.