Baby skyrmion crystals stabilized by vector mesons

In this letter we study soliton crystals in the $(2+1)$-dimensional analogue model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The baby ω-Skyrme model studied here is an $O(3)$ nonlinear σ model coupled to a massive vector meson, the ω-meson. Using recently developed methods in the $(3+1)$-dimensional ω-Skyrme model we are able to construct soliton crystals in this $(2+1)$-dimensional baby ω-Skyrme model. The resulting crystals form a hexagonal lattice structure and are qualitatively and quantitatively similar to crystals observed in the standard baby Skyrme model.