Gaussian expansion method for few-body systems and its applications to atomic and nuclear physics
Gaussian expansion method for few-body systems and its applications to atomic and nuclear physics
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少体系统的高斯展开方法及其在原子核物理中的应用
DOI：
10.1093/ptep/pts015
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Emiko Hiyama
中科院分区：
文献类型：
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作者：
T. Myo;A. Umeya;K. Horii;H. Toki and K. Ikeda;高田明;尾辻泰一;鶴田健二;Emiko Hiyama
综述了高斯展开法及其在各种三体、四体和五体问题中的应用。作为应用的例子，我们回顾了i)在三体和四体4he原子团簇中的应用；ii)使用实际力对四核子束缚态的基准测试和4he的第二个0+态的计算；iii) h和he的四体计算takingΛN -ΣNcoupling； iv) doubleΛhypernucleus，Be的五体计算。此外，我们还讨论了对这些系统的结构和机理的理解，以及一些有用的计算技术。我们首次获得了具有极强的短程斥力和弱范德华引力的4he原子四体系统结合能和波函数的数值可靠解。通过将该方法应用于四核子束缚态的计算，我们发现在GEM四体计算中可以很好地理解0+1到0+2态之间空间结构的剧烈变化。对h和he进行了四体计算，并讨论了ofΛ -Σconversion在这些超核中的作用。在anααnΛΛfive-body模型的框架内计算doubleΛhypernucleus Be的能级。最近在KEK-E373实验中观察到的Hida事件被解释为对be基态的观察。
The Gaussian expansion method and its application to various three-, four-, and five-body problems are reviewed. As examples for the application, we review i) the application to three- and four-body4He-atom clusters and ii) benchmark testing for four-nucleon bound states using realistic force and calculation of the second 0+state of4He, iii) the four-body calculation ofH andHe takingΛN–ΣNcoupling, and iv) the five-body calculation of a doubleΛhypernucleus,Be. In addition, we discuss the understanding of the structure and the mechanisms of those systems together with some useful techniques for the calculations. We obtain the first numerically reliable solution to the binding energies and wave functions of the four-body system of4He atoms interacting with an extremely strong short-range repulsion and a weak van der Waals attraction. By applying the method to the calculations of the four-nucleon bound state, we find that the drastic change in the spatial structure between the 0+1to 0+2states is well understood in terms of the GEM four-body calculation. The four-body calculations are performed forH andHe and the role ofΛ–Σconversion in these hypernuclei is discussed. Energy levels of the doubleΛhypernucleus,Be, are calculated within the framework of anααnΛΛfive-body model. The Hida event, recently observed in the KEK-E373 experiment, is interpreted as an observation of the ground state ofBe.