关于重子物质的Skyrme型建议
A Skyrme-type proposal for baryonic matter
摘要：
Skyrme模型是QCD的一种低能有效场论，其中重子以孤子形式出现。然而，在标准的Skyrme模型中，要再现核质量随重子数（拓扑荷）几乎精确的线性增长并不容易，因为在这个模型中缺乏Bogomolny解，这也阻碍了分析的进展。在这里，我们确定了一个子模型内的Skyrme型的低能量有效的行动，它确实有一个Bogomolny约束和确切的Bogomolny解决方案，因此，至少在经典水平上，再现核质量的建设。由于它的高度对称性，该模型定性地再现了核的液滴模型的主要特征。最后，我们讨论了在什么情况下，建议的六次项，这是一个本质上的几何和拓扑性质，可以预期给一个合理的描述的性质的核。
英文摘要：
The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses with the baryon number (topological charge), due to the lack of Bogomolny solutions in this model, which has also hindered analytical progress. Here we identify a submodel within the Skyrme-type low energy effective action which does have a Bogomolny bound and exact Bogomolny solutions, and therefore, at least at the classical level, reproduces the nuclear masses by construction. Due to its high symmetry, this model qualitatively reproduces the main features of the liquid droplet model of nuclei. Finally, we discuss under which circumstances the proposed sextic term, which is of an essentially geometric and topological nature, can be expected to give a reasonable description of properties of nuclei.
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