Efimovian three-body potential from broad to narrow Feshbach resonances

被引：9
作者：
van de Kraats, J. [1 ]
Ahmed-Braun, D. J. M. [1 ]
Li, J. -l. [1 ,2 ]
Kokkelmans, S. J. J. M. F. [1 ]
机构：
[1] Eindhoven Univ Technol, POB 513, NL-5600 Eindhoven, Netherlands
[2] Univ Ulm, Inst Quantenmaterie, Ctr Integrated Quantum Sci & Technol IQ ST, D-89069 Ulm, Germany
来源：
PHYSICAL REVIEW A | 2023年 / 107卷 / 02期
关键词：
QUANTUM-DEFECT ANALYSIS; SCATTERING LENGTH; BOUND-STATES; MOLECULES; PHYSICS; ATOMS;
D O I：
10.1103/PhysRevA.107.023301
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analyze the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body dissociation scattering length a- shifts away from the universal value of -9.7 rvdW, with rvdW = 2 (mC6/h over bar 2)1/4 the two-body van der Waals range. We model the three-body system using a separable two-body 1 interaction that takes into account the full zero-energy behavior of the multichannel wave function. We find that the short-range repulsive barrier in the three-body potential characteristic for single-channel models remains universal for narrow resonances, while the change in the three-body parameter originates from a strong decrease in the potential depth. From an analysis of the underlying spin structure we further attribute this behavior to the dominance of the two-body interaction in the resonant channel compared to other nonresonant interactions.
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页数：11
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共 54 条
[1]   Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium [J].
Berninger, M. ;
Zenesini, A. ;
Huang, B. ;
Harm, W. ;
Naegerl, H. -C. ;
Ferlaino, F. ;
Grimm, R. ;
Julienne, P. S. ;
Hutson, J. M. .
PHYSICAL REVIEW LETTERS, 2011, 107 (12)
[2]   Feshbach resonances, weakly bound molecular states, and coupled-channel potentials for cesium at high magnetic fields [J].
Berninger, Martin ;
Zenesini, Alessandro ;
Huang, Bo ;
Harm, Walter ;
Naegerl, Hanns-Christoph ;
Ferlaino, Francesca ;
Grimm, Rudolf ;
Julienne, Paul S. ;
Hutson, Jeremy M. .
PHYSICAL REVIEW A, 2013, 87 (03)
[3]   Universal equation for Efimov states [J].
Braaten, E ;
Hammer, HW ;
Kusunoki, M .
PHYSICAL REVIEW A, 2003, 67 (02) :4
[4]   Universality in few-body systems with large scattering length [J].
Braaten, Eric ;
Hammer, H. -W. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 428 (5-6) :259-390
[5]   Precision Test of the Limits to Universality in Few-Body Physics [J].
Chapurin, Roman ;
Xie, Xin ;
Van de Graaff, Michael J. ;
Popowski, Jared S. ;
D'Incao, Jose P. ;
Julienne, Paul S. ;
Ye, Jun ;
Cornell, Eric A. .
PHYSICAL REVIEW LETTERS, 2019, 123 (23)
[6]   Feshbach resonances in ultracold gases [J].
Chin, Cheng ;
Grimm, Rudolf ;
Julienne, Paul ;
Tiesinga, Eite .
REVIEWS OF MODERN PHYSICS, 2010, 82 (02) :1225-1286
[7]   Very-high-precision bound-state spectroscopy near a 85Rb Feshbach resonance -: art. no. 060701 [J].
Claussen, NR ;
Kokkelmans, SJJMF ;
Thompson, ST ;
Donley, EA ;
Hodby, E ;
Wieman, CE .
PHYSICAL REVIEW A, 2003, 67 (06) :4
[8]   High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms [J].
Derevianko, A ;
Johnson, WR ;
Safronova, MS ;
Babb, JF .
PHYSICAL REVIEW LETTERS, 1999, 82 (18) :3589-3592
[9]   Finite-range corrections near a Feshbach resonance and their role in the Efimov effect [J].
Dyke, P. ;
Pollack, S. E. ;
Hulet, R. G. .
PHYSICAL REVIEW A, 2013, 88 (02)
[10]   ENERGY LEVELS ARISING FROM RESONANT 2-BODY FORCES IN A 3-BODY SYSTEM [J].
EFIMOV, V .
PHYSICS LETTERS B, 1970, B 33 (08) :563-&
123456