论文标题
近bps天空
Near-BPS Skyrmions
论文作者
论文摘要
我们考虑在接近BPS限制中的Skyrme模型。 BPS部分由六术术语加上电势制成，变形是由由小参数$ε\ ll1 $控制的标准大型Skyrme模型制成的。为了保持理论和计算控制下的扰动，我们找到了一个模型，BPS Skyrmions具有紧凑的支持，此后称为紧凑型，而球形对称的$ B = 1 $ Skyyrmion代表最稳定的解决方案。我们使用$ε$ - expansion方案来系统地计算能量的校正，并与$ b = 1 $ sector中的确切数值计算进行比较。最后，我们使用$ε$ expansion方案来计算两个$ b = 1 $ skyrmions及其结合能的结合状态，在量化之前，它们与我们的模型中的deuteron相对应。
We consider the Skyrme model in the near-BPS limit. The BPS part is made of the sextic term plus a potential and the deformation is made of the standard massive Skyrme model controlled by a small parameter $ε\ll1$. In order to keep the perturbation under theoretical and computational control, we find a model for which BPS Skyrmions have compact support, henceforth denoted as compactons, and the spherically symmetric $B=1$ Skyrmion represents the most stable solution. We use the $ε$-expansion scheme to systematically calculate the corrections to the energy and compare with the exact numerical computations in the $B=1$ sector. Finally, we use the $ε$-expansion scheme to calculate the bound state of two $B=1$ Skyrmions and its binding energy, which corresponds, prior to quantization, to the deuteron in our model.
