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arXiv 2408.08993physics.atom-ph
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具有p波相互作用的通用三体和假Efimov效应

Universal trimers with p-wave interactions and the faux-Efimov effect

Yu-Hsin Chen, Chris H Greene

备注：
15 pages, 16 figures
发表信息：
J. Phys. B 58, 015302 (2025)
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AI总结：

研究了具有p波相互作用的费米三体系统，发现其在特定条件下表现出假Efimov效应，并通过散射体积和零能共振验证了其普遍性。

摘要：

一个不寻常的p波通用三体类群，对称性为LΠ=1±，被识别出来，适用于两种组分费米三体系统，其s波和p波散射长度接近单位性，以及单组分费米三体系统在p波单位性下。此外，当spin-up和spin-down费米子之间的p波相互作用接近单位性，或两个spin-up费米子之间的相互作用接近p波单位性极限时，发现具有LΠ=1±对称性的费米三体系统。本文通过考虑范德华相互作用在具有不同两体束缚态数的伦敦-琼斯势中的情况，测试了这些p波通用三体的普遍性；我们的计算还确定了散射体积或长度的值，其中三体态接触零能并可以作为重组共振被观测。当两个费米子相互作用接近p波单位性，并且最低的1/R²系数被修改时，假Efimov效应出现在三体对称性LΠ=1⁻的情况下，从而改变了涉及三体连续通道的非弹性过程的通常威金斯阈值定律。

英文摘要：

An unusual class of $p$-wave universal trimers with symmetry $L^Π=1^{\pm}$ is identified, for both a two-component fermionic trimer with $s$- and $p$-wave scattering length close to unitarity and for a one-component fermionic trimer at $p$-wave unitarity. Moreover, fermionic trimers made of atoms with two internal spin components are found for $L^Π=1^{\pm}$, when the $p$-wave interaction between spin-up and spin-down fermions is close to unitarity and/or when the interaction between two spin-up fermions is close to the $p$-wave unitary limit. The universality of these $p$-wave universal trimers is tested here by considering van der Waals interactions in a Lennard-Jones potential with different numbers of two-body bound states; our calculations also determine the value of the scattering volume or length where the trimer state hits zero energy and can be observed as a recombination resonance. The faux-Efimov effect appears with trimer symmetry $L^Π=1^{-}$ when the two fermion interactions are close to $p$-wave unitarity and the lowest $1/R^2$ coefficient gets modified, thereby altering the usual Wigner threshold law for inelastic processes involving 3-body continuum channels.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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