Spectrum of three-body bound States in a finite volume.
Spectrum of three-body bound States in a finite volume.
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DOI：
10.1103/physrevlett.114.091602
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发表时间：
2014-12
影响因子：
8.6
通讯作者：
U. Meissner;G. Ríos;A. Rusetsky
中科院分区：
文献类型：
--
作者：
U. Meissner;G. Ríos;A. Rusetsky
研究了有限立方体盒子中三个质量为m的全同粒子的束缚态谱。结果表明，在幺正极限下，浅束缚态的能量位移为ΔE=c（κ^{2}/m）（κL）^{-3/2}|一|^{2}exp（-2 L/sqrt[3]），其中κ是束缚态动量，L是盒子大小，|一|^{2}表示束缚态波函数的渐近归一化系数的三体模拟，c是数值常数。该公式对κL <$1有效。
The spectrum of a bound state of three identical particles with a mass m in a finite cubic box is studied. It is shown that in the unitary limit, the energy shift of a shallow bound state is given by ΔE=c(κ^{2}/m)(κL)^{-3/2}|A|^{2}exp(-2κL/sqrt[3]), where κ is the bound-state momentum, L is the box size, |A|^{2} denotes the three-body analog of the asymptotic normalization coefficient of the bound state wave function, and c is a numerical constant. The formula is valid for κL≫1.