The Inhomogeneous Phase of Dense Skyrmion Matter
arXiv:1904.04483 · doi:10.1016/j.nuclphysa.2019.06.010
Abstract
It was predicted qualitatively in ref.[1] that skyrmion matter at low density is stable in an inhomogeneous phase where skyrmions condensate into lumps while the remaining space is mostly empty. The aim of this paper is to proof quantitatively this prediction. In order to construct an inhomogeneous medium we distort the original FCC crystal to produce a phase of planar structures made of skyrmions. We implement mathematically these planar structures by means of the 't Hooft instanton solution using the Atiyah-Manton ansatz. The results of our calculation of the average density and energy confirm the prediction suggesting that the phase diagram of the dense skyrmion matter is a lot more complex than a simple phase transition from the skyrmion FCC crystal lattice to the half-skyrmion CC one. Our results show that skyrmion matter shares common properties with standard nuclear matter developing a skin and leading to a binding energy equation which resembles the Weiszaecker mass formula.
8 figures, 14 pages
References in corpus (4)
Cited by in corpus (11)
- Pion crystals hosting topologically stable baryons
- Magnon dynamics in a Skyrmion-textured domain wall of antiferromagnets
- Topology and emergent symmetries in dense compact star matter
- Quantum Skyrmion crystals and the symmetry energy of dense matter
- Dense matter equation of state and phase transitions from a Generalized Skyrme model
- Kaon condensation in skyrmion matter and compact stars
- Generalized skyrmion crystals with applications to neutron stars
- Skyrme crystals with massive pions
- Constrained instantons and kink-antikink collisions
- Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter
- Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter