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Recent Advances in Description of Few Two-Component Fermions

机译:几种双组分费米子描述的最新进展

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Overview of the recent advances in description of the few two-component fermions is presented. Themodel of zero-range interaction is generally considered to discuss the principal aspects of the few-body dynamics. Particular attention is paid to detailed description of two identical fermions of mass m and a distinct particle of mass m1: it turns out that two L~P = 1- three-body bound states emerge if mass ratio m/m_1 increases up to the critical value μ_c ≈ 13.607, abovewhich the Efimov effect takes place. The topics considered include rigorous treatment of the few-fermion problem in the zero-range interaction limit, lowdimensional results, the four-body energy spectrum, crossover of the energy spectra for m/m1 near μc, and properties of potential-dependent states. At last, enlisted are the problems, whose solution is in due course.
机译:介绍了在描述两组分费米子方面最新进展的概述。通常考虑零距离相互作用的模型来讨论少数人体动力学的主要方面。特别注意对质量为m的两个相同费米子和质量为m1的不同粒子的详细描述:结果发现,如果质量比m / m_1增大到临界值,则出现两个L〜P = 1-三体束缚态。值μ_c≈13.607,在此之上会发生Efimov效应。所考虑的主题包括在零范围相互作用极限中严格处理少数费密子问题,低维结果,四体能谱,μ/ m1附近的μ/ m1的能谱交叉以及势态依赖状态的性质。最后,列出了问题所在,并在适当时候解决了这些问题。

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