Skyrmions with massive pions

Abstract

In the Skyrme model with massless pions, the minimal energy multi-Skyrmions are shell-like, with the baryon density localized on the edges of a polyhedron that is approximately spherical and generically of the fullerene-type. In this paper we show that in the Skyrme model with massive pions these configurations are unstable for sufficiently large baryon number. Using numerical simulations of the full nonlinear field theory, we show that these structures collapse to form qualitatively different stable Skyrmion solutions. These new Skyrmions have a flat structure and display a clustering phenomenon into lower charge components, particularly components of baryon numbers three and four. These new qualitative features of Skyrmions with massive pions are encouraging in comparison with the expectations based on real nuclei.

4 pages, 2 figures

References in corpus (11)

• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Skyrmions, Fullerenes and Rational Maps
• Skyrmions and the pion mass
• Solitonic fullerene structures in light atomic nuclei
• Spinning Skyrmions and the Skyrme Parameters
• Homotopy of Rational Maps and the Quantization of Skyrmions
• Normal Mode Spectrum of the Deuteron in the Skyrme Model
• Normal Modes of the B=4 Skyrme Soliton
• A zero-mode quantization of the Skyrmion
• Characteristic predictions of topological soliton models

Cited by in corpus (65)

• Phases of Dense Quarks at Large N_c
• Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
• A Skyrme-type proposal for baryonic matter
• Skyrmions, instantons and holography
• A BPS Skyrme model and baryons at large Nc
• Skyrmions and the alpha-particle model of nuclei
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions in a truncated BPS theory
• Light Nuclei as Quantized Skyrmions
• Skyrmions up to Baryon Number 108
• Topological energy bounds for the Skyrme and Faddeev models with massive pions
• Compact baby skyrmions
• Broken Baby Skyrmions
• Nuclear binding energies from a BPS Skyrme model
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Skyrme models and nuclear matter equation of state
• Topological energy bounds in generalized Skyrme models
• Thermodynamics of the BPS Skyrme model
• The gauged BPS baby Skyrme model
• Generalized Skyrme model with the loosely bound potential
• Hairy black holes in the general Skyrme model
• Classically isospinning Skyrmion solutions
• Modifying the pion mass in the loosely bound Skyrme model
• Monopoles in AdS
• Chains of Skyrmions
• Scaling Identities for Solitons beyond Derrick's Theorem
• Multi-Skyrmions with Vector Mesons
• Scattering of Skyrmions
• Baryons and baryonic matter in the large Nc and heavy quark limits
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Baby Skyrmions stabilized by vector mesons
• Walls and chains of planar skyrmions
• A Smörgåsbord of Skyrmions
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Symmetries and exact solutions of the BPS Skyrme model
• Rotational-vibrational coupling in the BPS Skyrme model of baryons
• Radial vibrations of BPS skyrmions
• Crystal structures in generalized Skyrme model
• New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
• Neutron stars within the Skyrme model
• The BPS sectors of the Skyrme model and their non-BPS extensions
• The vector BPS Skyrme model
• Complex BPS Skyrmions with real energy
• Dielectric Skyrmions
• Generalized skyrmion crystals with applications to neutron stars
• Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
• Effect of Coulomb energy on Skyrmions
• Solitons in the Gauged Skyrme-Maxwell Model
• Strongly coupled Skyrme-Faddeev-Niemi hopfions
• On Chiral Symmetry Restoration at Finite Density in Large N_c QCD
• The effect of pion mass on Skyrme configurations
• Analytical Solution for the SU(2) Hedgehog Skyrmion and Static Properties of Nucleons
• Soliton stability in some knot soliton models
• The $\alpha$ particle as a canonically quantized multiskyrmion
• Near-BPS Skyrmions
• Skyrmions, Rational Maps & Scaling Identities
• False vacuum Skyrmions revisited
• Nonlinear rigid-body quantization of Skyrmions
• The unified Skyrmion profiles and Static Properties of Nucleons
• Isospinning Skyrmions
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry
• Light Nuclei as Quantized Skyrmions: Energy Spectra and Form Factors
• Mass and Isospin Breaking Effects in the Skyrme Model and in Holographic QCD
• Recent Developments in the Skyrme Model
• Multi-solitons with vector mesons on the two-sphere