Harmonically trapped four-boson system
Harmonically trapped four-boson system
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DOI：
10.1103/physreva.97.033621
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发表时间：
2018-02
影响因子：
2.9
通讯作者：
D. Blume;M. Sze;J. Bohn
中科院分区：
文献类型：
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作者：
D. Blume;M. Sze;J. Bohn
考虑在外部球对称谐波约束下具有纯吸引二体短程相互作用和排斥三体相互作用的四个相同的无自旋玻色子。排斥性三体势阻止了具有分子特征的深度束缚态的形成。详细分析了无限大二体$s$波散射长度的轨道角动量消失和正宇称的低能谱。使用三体接触，状态被分为普遍性、准普遍性或强非普遍性。讨论了与零范围交互模型的连接。能量谱被绘制为二体 $s$ 波散射长度 $a_s$ 的函数，$a_s>0$。在弱到中强相互作用状态中，其中一种状态接近硬核相互作用模型获得的能量。该状态被确定为能量最低的“BEC 状态”。还介绍了结构特性。
Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential prevents the formation of deeply-bound states with molecular character. The low-energy spectrum with vanishing orbital angular momentum and positive parity for infinitely large two-body $s$-wave scattering length is analyzed in detail. Using the three-body contact, states are classified as universal, quasi-universal, or strongly non-universal. Connections with the zero-range interaction model are discussed. The energy spectrum is mapped out as a function of the two-body $s$-wave scattering length $a_s$, $a_s>0$. In the weakly- to medium-strongly-interacting regime, one of the states approaches the energy obtained for a hard core interaction model. This state is identified as the energetically lowest-lying "BEC state". Structural properties are also presented.