"Half a proton" in the Bogomol'nyi-Prasad-Sommerfield Skyrme model

Abstract

The BPS Skyrme model is a model containing an $SU(2)$-valued scalar field, in which a Bogomol'nyi-type inequality can be satisfied by soliton solutions. In this model, the energy density of static configurations is the sum of the square of the topological charge density plus a potential. The topological charge density is nothing else but the pull-back of the Haar measure of the group $SU(2)$ on the physical space by the field configuration. As a consequence, this energy expression has a high degree of symmetry: it is invariant to volume preserving diffeomorphisms both on physical space and on the target space. We demonstrate here, that in the BPS Skyrme model such solutions exists, that a fraction of their charge and energy densities are localised, and the remaining part can be any far away, not interacting with the localised part.

5 pages, no figures; updated to final version

References in corpus (5)

• A BPS Skyrme model and baryons at large Nc
• BPS Skyrmions as neutron stars
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Fractional Skyrmions and their molecules
• Time-Dependent BPS Skyrmions

Cited by in corpus (2)

• Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
• Magnetic Hopfions in the Faddeev-Skyrme-Maxwell model