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

Skyrmion crystals are the field configurations which minimize the energy per baryon in the infinitely large topological charge sector of the Skyrme model, at least for sufficiently high density. They are, therefore, an important tool to describe the ground state of cold, symmetric nuclear matter at high density regimes. In this work, we analyze different crystalline phases and the existence of phase transitions between them within the generalized Skyrme model, making special emphasis in describing symmetric nuclear matter in a wide regime of densities. Furthermore, we propose a new energy-minimizing crystalline phase for densities lower than the nuclear saturation point ($n_0$) which also presents a good qualitative behavior in the zero density limit, improving the predictive power of the model by allowing the description of matter with $n

Keywords:

• Skyrmion
• Equation of state
• Baryon
• Nuclear matter
• Quantum mechanics
• Phase transition
• Field (physics)
• Ground state
• Topological quantum number
• Physics

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