Ordered arrays of Baryonic tubes in the Skyrme model in (3+1) dimensions at finite density

Abstract

A consistent ansatz for the Skyrme model in (3+1)-dimensions which is able to reduce the complete set of Skyrme field equations to just one equation for the profile in situations in which the Baryon charge can be arbitrary large is introduced: moreover, the field equation for the profile can be solved explicitly. Such configurations describe ordered arrays of Baryonic tubes living in flat space-times at finite density. The plots of the energy density (as well as of the Baryon density) clearly show that the regions of maximal energy density have the shape of a tube: the energy density and the Baryon density depend periodically on two spatial directions while they are constant in the third spatial direction. Thus, these topologically non-trivial crystal-like solutions can be intepreted as configurations in which most of the energy density and the baryon density are concentrated within tube-shaped regions. The positions of the energy-density peaks can be computed explicitly and they manifest a clear crystalline order. A non-trivial stability test is discussed.

19 pages, 2 figures. A detailed discussion of the Baryon density distribution has ben included (the title has been changed accordingly). The comparison with the rational map approach has been included as well (together with relevant references). This version has been accepted for publication on EUROPEAN PHYSICAL JOURNAL C

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• Pion crystals hosting topologically stable baryons
• Analytic SU(N) Skyrmions at finite Baryon density
• Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density
• Topology and emergent symmetries in dense compact star matter
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Cooking pasta with Lie groups
• Many Phases of Generalized 3D Instanton Crystals
• Shadows aspect of rotating black holes in the Einstein-AdS SU(N)-nonlinear sigma model
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• Generalized skyrmion crystals with applications to neutron stars
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• Analytic meronic black holes, gravitating solitons and higher spins in the Einstein $SU(N)$-Yang-Mills theory
• Bianchi IX cosmologies in the Einstein-Skyrme system in a sector with non-trivial topological charge
• Parallel waves in Einstein-non linear sigma models
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Fractionalized Quasiparticles in Dense Baryonic Matter
• Analytic Baby Skyrmions at Finite Density
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