Baryonic sphere: a spherical domain wall carrying baryon number

Abstract

We construct a spherical domain wall which has baryon charge distributed on a sphere of finite radius in a Skyrme model with a sixth order derivative term and a modified mass term. Its distribution of energy density likewise takes the form of a sphere. In order to localize the domain wall at a finite radius we need a negative coefficient in front of the Skyrme term and a positive coefficient of the sixth order derivative term to stabilize the soliton. Increasing the pion mass pronounces the shell-like structure of the configuration.

LaTeX: 11 pages, 3 figures; V2: references added

References in corpus (13)

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Cited by in corpus (24)

• Domain wall Skyrmions
• Incarnations of Skyrmions
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Skyrme models and nuclear matter equation of state
• Loosening up the Skyrme model
• Relations among topological solitons
• Domain Wall Skyrmions in Chiral Magnets
• Fractional Skyrmions and their molecules
• Hairy black holes in the general Skyrme model
• Near BPS Skyrmions and Restricted Harmonic Maps
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• A higher-order Skyrme model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Skyrmions confined as beads on a vortex ring
• Effective field theories on solitons of generic shapes
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Evolution of spherical domain walls in solitonic symmetron models
• BPS pion domain walls in the supersymmetric chiral Lagrangian