{"title":"p 波相互作用对重光费米系统中 Borromean Efimov 三聚体的影响","authors":"Cai-Yun Zhao, Hui-Li Han, Ting-Yun Shi","doi":"10.1088/1361-6455/ad4fd2","DOIUrl":null,"url":null,"abstract":"We investigate the effects of <italic toggle=\"yes\">p</italic>-wave interactions on Efimov trimers in systems comprising two identical heavy fermions and a light particle, with mass ratios larger than 13.6. Our focus lies on the Borromean regime where the ground-state trimer exists in the absence of dimers. Using pair-wise Lennard–Jones potentials and concentrating on the <inline-formula>\n<tex-math><?CDATA $L^{\\pi} = 1^{-}$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mrow><mml:mi>π</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"bad4fd2ieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> symmetry, we explore the critical value of the interspecies <italic toggle=\"yes\">s</italic>-wave scattering length <italic toggle=\"yes\">a</italic>\n<sub>\n<italic toggle=\"yes\">c</italic>\n</sub> at which the Borromean state appears in several two-component particle systems. Our exploration encompasses the universal properties of <italic toggle=\"yes\">a</italic>\n<sub>\n<italic toggle=\"yes\">c</italic>\n</sub> and the influence of <italic toggle=\"yes\">p</italic>-wave fermion–fermion interactions on its value. We find that, in the absence of <italic toggle=\"yes\">p</italic>-wave fermion–fermion interactions, <italic toggle=\"yes\">a</italic>\n<sub>\n<italic toggle=\"yes\">c</italic>\n</sub> is determined universally by the van der Waals radius and mass ratio. However, the introduction of <italic toggle=\"yes\">p</italic>-wave fermion–fermion interactions unveiled a departure from this universality. Our calculations show that the critical interspecies scattering length <italic toggle=\"yes\">a</italic>\n<sub>\n<italic toggle=\"yes\">c</italic>\n</sub> now depends on the details of the fermion–fermion <italic toggle=\"yes\">p</italic>-wave interaction. And, the presence of <italic toggle=\"yes\">p</italic>-wave fermion–fermion interactions favors the formation of the Borromean state. Additionally, our investigation reveals that Efimov effect in the <inline-formula>\n<tex-math><?CDATA $1^{-}$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:msup><mml:mn>1</mml:mn><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"bad4fd2ieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> symmetry persist even when the fermion–fermion interaction reaches the <italic toggle=\"yes\">p</italic>-wave unitary limit.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":"49 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of p-wave interactions on Borromean Efimov trimers in heavy–light Fermi systems\",\"authors\":\"Cai-Yun Zhao, Hui-Li Han, Ting-Yun Shi\",\"doi\":\"10.1088/1361-6455/ad4fd2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the effects of <italic toggle=\\\"yes\\\">p</italic>-wave interactions on Efimov trimers in systems comprising two identical heavy fermions and a light particle, with mass ratios larger than 13.6. Our focus lies on the Borromean regime where the ground-state trimer exists in the absence of dimers. Using pair-wise Lennard–Jones potentials and concentrating on the <inline-formula>\\n<tex-math><?CDATA $L^{\\\\pi} = 1^{-}$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mrow><mml:mi>π</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"bad4fd2ieqn1.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> symmetry, we explore the critical value of the interspecies <italic toggle=\\\"yes\\\">s</italic>-wave scattering length <italic toggle=\\\"yes\\\">a</italic>\\n<sub>\\n<italic toggle=\\\"yes\\\">c</italic>\\n</sub> at which the Borromean state appears in several two-component particle systems. Our exploration encompasses the universal properties of <italic toggle=\\\"yes\\\">a</italic>\\n<sub>\\n<italic toggle=\\\"yes\\\">c</italic>\\n</sub> and the influence of <italic toggle=\\\"yes\\\">p</italic>-wave fermion–fermion interactions on its value. We find that, in the absence of <italic toggle=\\\"yes\\\">p</italic>-wave fermion–fermion interactions, <italic toggle=\\\"yes\\\">a</italic>\\n<sub>\\n<italic toggle=\\\"yes\\\">c</italic>\\n</sub> is determined universally by the van der Waals radius and mass ratio. However, the introduction of <italic toggle=\\\"yes\\\">p</italic>-wave fermion–fermion interactions unveiled a departure from this universality. Our calculations show that the critical interspecies scattering length <italic toggle=\\\"yes\\\">a</italic>\\n<sub>\\n<italic toggle=\\\"yes\\\">c</italic>\\n</sub> now depends on the details of the fermion–fermion <italic toggle=\\\"yes\\\">p</italic>-wave interaction. And, the presence of <italic toggle=\\\"yes\\\">p</italic>-wave fermion–fermion interactions favors the formation of the Borromean state. Additionally, our investigation reveals that Efimov effect in the <inline-formula>\\n<tex-math><?CDATA $1^{-}$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:msup><mml:mn>1</mml:mn><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"bad4fd2ieqn2.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> symmetry persist even when the fermion–fermion interaction reaches the <italic toggle=\\\"yes\\\">p</italic>-wave unitary limit.\",\"PeriodicalId\":16826,\"journal\":{\"name\":\"Journal of Physics B: Atomic, Molecular and Optical Physics\",\"volume\":\"49 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics B: Atomic, Molecular and Optical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6455/ad4fd2\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics B: Atomic, Molecular and Optical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6455/ad4fd2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
摘要
我们研究了在由两个相同的重费米子和一个质量比大于 13.6 的轻粒子组成的系统中,p 波相互作用对埃菲莫夫三聚体的影响。我们的研究重点是在没有二聚体的情况下存在基态三聚体的 Borromean 体系。我们利用成对的伦纳德-琼斯电势,集中研究了 Lπ=1- 对称性,探索了几种双组分粒子系统中出现波罗曼态的种间 s 波散射长度 ac 的临界值。我们的探索包括 ac 的普遍特性以及 p 波费米子-费米子相互作用对其值的影响。我们发现,在没有 p 波费米子-费米子相互作用的情况下,ac 通常由范德华半径和质量比决定。然而,p 波费米子-费米子相互作用的引入揭示了这一普遍性的偏离。我们的计算表明,临界种间散射长度 ac 现在取决于费米子-费米子 p 波相互作用的细节。而且,费米子-费米子 p 波相互作用的存在有利于波罗莫态的形成。此外,我们的研究还发现,即使费米子与费米子的相互作用达到了 p 波单元极限,1 对称中的埃菲莫夫效应仍然存在。
Effects of p-wave interactions on Borromean Efimov trimers in heavy–light Fermi systems
We investigate the effects of p-wave interactions on Efimov trimers in systems comprising two identical heavy fermions and a light particle, with mass ratios larger than 13.6. Our focus lies on the Borromean regime where the ground-state trimer exists in the absence of dimers. Using pair-wise Lennard–Jones potentials and concentrating on the Lπ=1− symmetry, we explore the critical value of the interspecies s-wave scattering length ac at which the Borromean state appears in several two-component particle systems. Our exploration encompasses the universal properties of ac and the influence of p-wave fermion–fermion interactions on its value. We find that, in the absence of p-wave fermion–fermion interactions, ac is determined universally by the van der Waals radius and mass ratio. However, the introduction of p-wave fermion–fermion interactions unveiled a departure from this universality. Our calculations show that the critical interspecies scattering length ac now depends on the details of the fermion–fermion p-wave interaction. And, the presence of p-wave fermion–fermion interactions favors the formation of the Borromean state. Additionally, our investigation reveals that Efimov effect in the 1− symmetry persist even when the fermion–fermion interaction reaches the p-wave unitary limit.
期刊介绍:
Published twice-monthly (24 issues per year), Journal of Physics B: Atomic, Molecular and Optical Physics covers the study of atoms, ions, molecules and clusters, and their structure and interactions with particles, photons or fields. The journal also publishes articles dealing with those aspects of spectroscopy, quantum optics and non-linear optics, laser physics, astrophysics, plasma physics, chemical physics, optical cooling and trapping and other investigations where the objects of study are the elementary atomic, ionic or molecular properties of processes.