Binding of three identical bosons in two dimensions
Binding of three identical bosons in two dimensions
复制标题
三个相同玻色子在二维中的结合
DOI：
10.1103/physreva.19.425
复制
发表时间：
1979
影响因子：
2.9
通讯作者：
J. Tjon
中科院分区：
文献类型：
--
作者：
L. W. Bruch;J. Tjon
讨论了通过二维对势相互作用的三个相同玻色子的结合的定性特征。已知会产生三维病理学的两种特殊情况，使用束缚态的 Faddeev 方程进行了检查。托马斯效应不会发生：在所处理的模型中，对于具有有限二聚体能量的零范围力，三聚体结合能是有限的。 Efimov 效应只能在比三维空间更严格的条件下发生：对于一系列潜在模型，结合三聚体状态的数量在二聚体阈值处是有限的。三聚体基态能量被确定为简单模型的耦合常数的函数，并且松散结合的 Lennard-Jones 三聚体的变分结果反映了该模型发现的总体趋势。
Qualitative features are discussed for the binding of three identical bosons interacting through pair potentials in two dimensions. Two special cases, known to yield pathologies in three dimensions, are examined using the Faddeev equation for the bound states. The Thomas effect does not occur: in the model which is treated, the trimer binding energy is finite for a zero-range force with a finite dimer energy. The Efimov effect can only occur under more restrictive conditions than in three dimensions: the number of bound trimer states is finite at the dimer threshold for a range of potential models. The trimer ground-state energy is determined as a function of the coupling constant for a simple model, and variational results for loosely bound Lennard-Jones trimers are shown to reflect a general trend found for the model.