论文标题
$ω$ -Skyrme模型中现实的古典绑定能
Realistic classical binding energies in the $ω$-Skyrme model
论文作者
论文摘要
Skyrme模型的Omega -Meson扩展 - 没有Skyrme术语但包括pion质量 - Adkins和Nappi首先考虑了Baryon数字1至8的详细研究。静态问题是在自然的几何框架中重新构建的，作为一个约束的能量最小化问题，在自然的几何框架内，并在compact域上分析了在compact域上进行分析，并在compact域上进行了分析，并在euclidean上进行了分析。使用受约束的二阶牛顿流量算法，为欧米茄耦合的各种值构建了经典的能量最小值。在高耦合下，这些天空溶液在质量上与带有无质乳头的标准Skyrme模型的天空相似。在足够低的耦合下，它们与轻度绑定的Skyrme模型中的相似之处：低巴里昂数字的天空分离为不同1-Skyrmions的轻微结合的簇，而Baryon数字2到8的经典结合能具有现实的值。
An omega-meson extension of the Skyrme model - without the Skyrme term but including the pion mass - first considered by Adkins and Nappi is studied in detail for baryon numbers 1 to 8. The static problem is reformulated as a constrained energy minimisation problem within a natural geometric framework and studied analytically on compact domains, and numerically on Euclidean space. Using a constrained second-order Newton flow algorithm, classical energy minimisers are constructed for various values of the omega-pion coupling. At high coupling, these Skyrmion solutions are qualitatively similar to the Skyrmions of the standard Skyrme model with massless pions. At sufficiently low coupling, they show similarities with those in the lightly bound Skyrme model: the Skyrmions of low baryon number dissociate into lightly bound clusters of distinct 1-Skyrmions, and the classical binding energies for baryon numbers 2 through 8 have realistic values.
