Multi-Skyrmions with Vector Mesons

Abstract

It is known that including vector mesons stabilizes the size of a Skyrmion without the need for a Skyrme term. This paper provides the first results for static multi-Skyrmions in such a theory. The rational map ansatz is used to investigate multi-Skyrmions in a theory which includes the omega vector meson and has no Skyrme term. Bound states with baryon numbers two, three and four are found, which have axial, tetrahedral and cubic symmetries, respectively. The results reveal a qualitative similarity with the standard Skyrme model with a Skyrme term and no vector mesons, suggesting that some features are universal and do not depend on the details of the theory. Setting the pion decay constant and meson masses to their experimental values leaves only a single free parameter in the model. Fixing this parameter, by equating the energy of the baryon number four Skyrmion to the Helium-4 mass, yields reasonable results for other baryon numbers.

Version to appear in Phys. Rev. D

References in corpus (15)

• Low energy hadron physics in holographic QCD
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Skyrmions, Fullerenes and Rational Maps
• Skyrmions and the alpha-particle model of nuclei
• Skyrmions with massive pions
• Skyrmions and the pion mass
• Solitonic fullerene structures in light atomic nuclei
• Light Nuclei as Quantized Skyrmions
• Spinning Skyrmions and the Skyrme Parameters
• Vector Mesons and Dence Skyrmion Matter
• The Role of the Dilaton in Dense Skyrmion Matter
• Baby Skyrmions stabilized by vector mesons
• Characteristic predictions of topological soliton models

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• Near-BPS Skyrmions: Constant baryon density
• A Solitonic Approach to Holographic Nuclear Physics
• Realistic classical binding energies in the $\omega$-Skyrme model
• Baby Skyrmions stabilized by vector mesons
• Baby Skyrme models without a potential term
• Holographic Nuclear Physics with Massive Quarks
• The vector BPS Skyrme model
• A simple mass-splitting mechanism in the Skyrme model
• The vector BPS baby Skyrme model
• Skyrmion crystals stabilized by $\omega$-mesons
• A BPS Skyrme model
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry
• Multi-solitons with vector mesons on the two-sphere