We systematically analyze the impact of dilatonic dynamics on Skyrme spheres, crystals, and branes. The effects of the dilatonic model parameters, encompassing different underlying near-conformal dynamics, on the macroscopic properties of skyrmions such as their mass and radius are discussed. For spheres and crystals we identify special values of the ratio of the decay constants for which the second order differential equations reduce to a solvable first order system. Additionally, in the case of the crystals, the dilaton presence spatially separates the baryon and isospin charge distributions. For branes, we show how the dilaton smooths out their configurations. Our results are expected to have wide implications from the study of near-conformal dynamics stemming from QCD-like theories to phenomenological investigations of nuclear matter in extreme regimes.

中文翻译：

---

重子晶体、布朗和球体的膨胀动力学


我们系统地分析了膨胀子动力学对 Skyrme 球体、晶体和布朗的影响。讨论了膨胀子模型参数（包括不同的潜在近共形动力学）对斯格明子的宏观特性（例如它们的质量和半径）的影响。对于球体和晶体，我们确定了二阶微分方程简化为可解一阶系统的衰变常数比率的特殊值。此外，在晶体的情况下，膨胀子的存在在空间上分离了重子和异旋电荷分布。对于 branes，我们展示了膨胀子如何平滑它们的构型。从源自 QCD 样理论的近共形动力学研究到极端状态下核物质的现象学研究，我们的结果有望产生广泛的影响。