Baryonic torii: Toroidal baryons in a generalized Skyrme model
arXiv:1410.8407 · doi:10.1103/PhysRevD.91.045027
Abstract
We study a Skyrme-type model with a potential term motivated by Bose-Einstein condensates (BECs), which we call the BEC Skyrme model. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order derivative term instead of the Skyrme term; both with the added BEC-motivated potential. The model contains toroidally shaped Skyrmions and they are characterized by two integers P and Q, representing the winding numbers of two complex scalar fields along the toroidal and poloidal cycles of the torus, respectively. The baryon number is B=PQ. We find stable Skyrmion solutions for P=1,2,3,4,5 with Q=1, while for P=6 and Q=1 it is only metastable. We further find that configurations with higher Q>1 are all unstable and split into Q configurations with Q=1. Finally we discover a phase transition, possibly of first order, in the mass parameter of the potential under study.
RevTeX: 31 pages, 16 figures; V2: published version (section V added)
References in corpus (22)
- Stationary ring solitons in field theory - knots and vortons
- All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
- Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
- A BPS Skyrme model and baryons at large Nc
- Knots in the Skyrme-Faddeev model
- Josephson vortices and the Atiyah-Manton construction
- Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
- Matryoshka Skyrmions
- Domain wall Skyrmions
- Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
- Incarnations of Skyrmions
- Exact multi-soliton solutions in the four dimensional Skyrme model
- Numerical Study of the stability of Skyrmions in Bose-Einstein Condensates
- Analogues of D-branes in Bose-Einstein condensates
- Stable Skyrmions in spinor condensates
- Walls and chains of planar skyrmions
- Effective field theories on solitons of generic shapes
- Defect formation from defect--anti-defect annihilations
- Knots from wall--anti-wall annihilations with stretched strings
- Skyrmion in spinor condensates and its stability in trap potentials
- Tachyon Condensation and Brane Annihilation in Bose-Einstein Condensates: Spontaneous Symmetry Breaking in Restricted Lower-dimensional Subspace
- Toroidal domain walls as Hopfions
Cited by in corpus (7)
- Non-Abelian Sine-Gordon Solitons
- Fractional instantons and bions in the O(N) model with twisted boundary conditions
- Fractional Skyrmions and their molecules
- Baryon chemical potential and in-medium properties of BPS skyrmions
- Skyrmions confined as beads on a vortex ring
- D-brane solitons in various dimensions
- Linked vortices as baryons in the miscible BEC-Skyrme model