四玻色子系统的普适性
Universality in Four-Boson Systems
摘要：
本文报道了从零程两体相互作用Faddeev-Yakubovsky方程的解出发研究普适弱束缚四玻色子态的最新进展。特别是，我们提出了两个邻居Efimov三聚体之间的连续四聚体的能量之间的相关性，并比较它最近的有限范围内的潜在模型计算。我们提供了进一步的结果上的大动量结构的四聚体波函数，四体尺度，在动量空间中的束缚态方程的正则化过程中引入的，清楚地表现出来。我们提出的结果证实了以前的猜测四体标度行为，这是独立的三体之一。我们表明，两个连续的共振四玻色子重组峰的位置之间的相关性是一致的，最近的数据，以及最近的计算接近酉极限。系统偏差表明距离校正的相关性。
英文摘要：
We report recent advances on the study of universal weakly bound four-boson states from the solutions of the Faddeev-Yakubovsky equations with zero-range two-body interactions. In particular, we present the correlation between the energies of successive tetramers between two neighbor Efimov trimers and compare it to recent finite range potential model calculations. We provide further results on the large momentum structure of the tetramer wave function, where the four-body scale, introduced in the regularization procedure of the bound state equations in momentum space, is clearly manifested. The results we are presenting confirm a previous conjecture on a four-body scaling behavior, which is independent of the three-body one. We show that the correlation between the positions of two successive resonant four-boson recombination peaks are consistent with recent data, as well as with recent calculations close to the unitary limit. Systematic deviations suggest the relevance of range corrections.
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