On the modification of the Efimov spectrum in a finite cubic box
On the modification of the Efimov spectrum in a finite cubic box
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DOI：
10.1140/epja/i2010-10910-6
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发表时间：
2009-10
期刊：
影响因子：
--
通讯作者：
S. Kreuzer;H. Hammer
中科院分区：
文献类型：
--
作者：
S. Kreuzer;H. Hammer
具有大散射长度的三个粒子显示了一个普遍的三体束缚态谱，称为“Efimov三聚体”。我们计算修改的Efimov三聚体的三个相同的玻色子在一个有限的立方盒子，并计算它们的能量的依赖于盒的大小，使用有效场理论。以前的计算正散射长度是微扰的有限体积能量转移扩展到任意大的位移和负散射长度。在有限体积中的有效场论的重整化明确验证。我们研究了分波混频的影响，并研究了浅三聚体在二聚体能量附近的行为。此外，我们提供了数值证据的有限体积修正的普遍标度。
Three particles with large scattering length display a universal spectrum of three-body bound states called “Efimov trimers”. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute the dependence of their energies on the box size using effective field theory. Previous calculations for positive scattering length that were perturbative in the finite-volume energy shift are extended to arbitrarily large shifts and negative scattering lengths. The renormalization of the effective field theory in the finite volume is explicitly verified. We investigate the effects of partial-wave mixing and study the behavior of shallow trimers near the dimer energy. Moreover, we provide numerical evidence for universal scaling of the finite-volume corrections.