Near-BPS Skyrmions

Abstract

We consider the Skyrme model in the near-BPS limit. The BPS part is made of the sextic term plus a potential and the deformation is made of the standard massive Skyrme model controlled by a small parameter $\epsilon \ll 1$. In order to keep the perturbation under theoretical and computational control, we find a model for which BPS Skyrmions have compact support, henceforth denoted as compactons, and the spherically symmetric $B=1$ Skyrmion represents the most stable solution. We use the $\epsilon$-expansion scheme to systematically calculate the corrections to the energy and compare with the exact numerical computations in the $B=1$ sector. Finally, we use the $\epsilon$-expansion scheme to calculate the bound state of two $B=1$ Skyrmions and its binding energy, which corresponds, prior to quantization, to the deuteron in our model.

arXiv commentLaTeX: 51 pages, 11 figures; V2: comments added, reference added and typos corrected

References in corpus (38)

• Low energy hadron physics in holographic QCD
• FLAG Review 2021
• Multisolitons in a Two-dimensional Skyrme Model
• A Skyrme-type proposal for baryonic matter
• Skyrmions, instantons and holography
• A BPS Skyrme model and baryons at large Nc
• Skyrmions with low binding energies
• Skyrmions with massive pions
• Skyrmions in a truncated BPS theory
• Skyrmions and the pion mass
• Topological energy bounds for the Skyrme and Faddeev models with massive pions
• Vibrational quantisation of the B=7 Skyrmion
• N=1 supersymmetric extension of the baby Skyrme model
• Extended Supersymmetry and BPS solutions in baby Skyrme models
• Nuclei as near BPS-Skyrmions
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• A supersymmetric Skyrme model
• Dynamics of Moving and Spinning Skyrmions
• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
• Near-BPS Skyrmions: Non-shell configurations and Coulomb effects
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Topological energy bounds in generalized Skyrme models
• Vibrational modes of Skyrmions
• Generalized Skyrme model with the loosely bound potential
• Topological solitons in the supersymmetric Skyrme model
• Fractional Skyrmions and their molecules
• Skyrmions in models with pions and rho mesons
• Modifying the pion mass in the loosely bound Skyrme model
• Near BPS Skyrmions and Restricted Harmonic Maps
• Exploring the generalized loosely bound Skyrme model
• A higher-order Skyrme model
• Realistic classical binding energies in the $\omega$-Skyrme model
• The Dielectric Skyrme model
• A Smörgåsbord of Skyrmions
• Near-BPS baby Skyrmions
• Dielectric Skyrmions
• Near-BPS baby Skyrmions with Gaussian tails
• A BPS Skyrme model

Cited by in corpus (1)

• Nonlinear rigid-body quantization of Skyrmions