Skyrmion物质的Atiyah-Manton方法
Atiyah-Manton Approach to Skyrmion Matter
摘要：
我们提出了如何处理，并报告的第一个结果，在我们的努力，描述核物质从重子的孤子图片，这是应该代表大量的颜色QCD开始。为此，利用Atiyah和Manton的瞬子-skyrmion连接来描述skyrmion物质。我们首先修改的t Hooft的多瞬子的解决方案，以便适当地将适当的动力学变量的skyrmion物质，然后通过这些变量作为变分参数，我们表明，他们覆盖的配置空间足以充分描述的基态性质的核物质从skyrmion图片。我们的结果与迄今为止在不同的数值计算中发现的结果相当，我们的解在晶体结构的高密度下达到稳定，并在最小值下获得每个重子能量的可比值，从而为下一步奠定了基础。
英文摘要：
We propose how to approach, and report on the first results in our effort for, describing nuclear matter starting from the solitonic picture of baryons which is supposed to represent QCD for large number of colors. For this purpose, the instanton-skyrmion connection of Atiyah and Manton is exploited to describe skyrmion matter. We first modify 't Hooft's multi-instanton solution so as to suitably incorporate proper dynamical variables into the skyrmion matter and then by taking these variables as variational parameters, we show that they cover a configuration space sufficient to adequately describe the ground state properties of nuclear matter starting from the skyrmion picture. Our results turn out to be comparable to those so far found in different numerical calculations, with our solution reaching stability at high density for a crystal structure and obtaining a comparable value for the energy per baryon at the minimum, thus setting the stage for the next step.
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