Abstract
We consider the dielectric Skyrme model proposed recently, with and without the addition of the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both the massless and massive cases. We further show that, except for when taking the strict BPS limit, the Skyrmions are made of 3 orthogonal dipoles that can always be placed in their attractive channel and form bound states. Finally, we study the model numerically and discover that, long before realistic binding energies are reached, the Skyrmions become bound states of well-separated point-particle-like Skyrmions. By going sufficiently close to the BPS limit, we are able to obtain classical binding energies of realistic values compared with experiments.
Highlights
The Skyrme model [1,2] is an effective field theory with the symmetries of the strong interactions at low energies, much like chiral perturbation theory [3]
The B 1⁄4 8 solution obtained from the rational map approximation (RMA) has dihedral symmetry, and we shall denote it as the B 1⁄4 8h solution
We consider a near-BPS version suggested in Ref. [29] of the dielectric Skyrme model, which is yet another modification—albeit a bit drastic one at that—of the standard Skyrme model in order to lower the binding energies
Summary
The Skyrme model [1,2] is an effective field theory with the symmetries of the strong interactions at low energies, much like chiral perturbation theory [3]. The Skyrme-model Lagrangian is replaced by a different Lagrangian containing only a sixth-order derivative term, which is the baryon charge density (current) squared, as well as a suitable potential This model has skyrmion solutions of all topological degrees saturating the BPS bound. It may seem a radical and perhaps almost contrived step to replace the well-known terms of the chiral Lagrangian, this model has been shown to be equivalent to the small ’t Hooft coupling limit of the Sakai-Sugimoto model [15], where the (holographic) skyrmions become large and fluidlike due to a dominating sextic derivative term [16].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
