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具有三体相互作用的一维费米双极化子中的两体和三体束缚态

Two- and three-body bound states in one-dimensional Fermi bipolaron with three-body interaction

O. Hryhorchak, V. Pastukhov

arXiv 2607.20075首次发表:更新:

AI 中文总结

研究一维理想费米气体中含三体接触相互作用的两个玻色子或单重态自旋 1/2 费米子杂质的基态性质,通过变分计算,预测在三体耦合参数广泛范围内出现二聚体态和多个三聚体态。

AI 中文摘要

我们讨论了仅考虑三体接触相互作用时,浸没在一维理想费米气体中的两个玻色子(或处于单重态自旋状态的自旋 1/2 费米子)杂质的基态性质。尽管模型简单,但发现它展现出多种介质诱导的少体束缚态。特别是,通过使用正确考虑一个粒子 - 空穴激发的试探波函数进行变分计算,我们预测了在三体耦合参数的广泛范围内二聚体态和几个三聚体态的出现。

英文摘要

We discuss the ground-state properties of two bosonic (or spin-1/2 fermionic in a singlet spin state) impurities immersed in a one-dimensional ideal Fermi gas with only the three-body contact interaction accounted for. Despite its simplicity, the considered model is found to demonstrate a variety of medium-induced few-body bound states. Particularly, using variational calculations with trial wave functions that correctly take into account one particle-hole excitation, we predict the emergence of a dimer state and several trimer states over a wide range of the three-body coupling parameter.

Comments7 pages, 2 figures; comments and relevant references welcome!

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