介质中的复合费米子：Lipkin模型的推广
Composite Fermions in Medium: Extending the Lipkin Model
摘要：
在一个适合于短程相互作用系统的代数方法内，研究了在稠密介质中形成两粒子和三粒子束缚态的相空间占据效应的作用。结果表明，对于两个费米子束缚态，由于帐户的交换对称性（相空间占用）的影响（泡利阻塞）在稠密介质中的结合能减少，并在临界密度（莫特效应）消失。对于三费米子束缚态，在一个Faddeev方程的方法，中间形成的对相关导致的代表性作为一个适当对称的费米子玻色子束缚态。结果表明，费米子对的玻色增强可以部分补偿费米子间的泡利阻塞。这就导致了用代数方法得到的一般结果：在高相空间占有率的介质中，三费米子束缚态在超过二费米子束缚态的Mott密度后必然表现为Borromean态。
英文摘要：
The role of phase space occupation effects for the formation of two- and three-particle bound states in a dense medium is investigated within an algebraic approach suitable for systems with short-range interactions. It is shown that for two-fermion bound states due to the account of the exchange symmetry (phase space occupation) effect (Pauli blocking) in a dense medium the binding energy is reduced and vanishes at a critical density (Mott effect). For three-fermion bound states, within a Faddeev equation approach, the intermediate formation of pair correlations leads to the representation as a suitably symmetrized fermion-boson bound state. It is shown that the Bose enhancement of fermion pairs can partially compensate the Pauli blocking between the fermions. This leads to the general result obtained by algebraic methods: three-fermion bound states in a medium with high phase space occupation appear necessarily as Borromean states beyond the Mott density of the two-fermion bound state.
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