Universality in the three-body problem for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>atoms

Braaten, Eric; Hammer, H.-W.

doi:10.1103/physreva.67.042706

Cited by 64 publications

(29 citation statements)

References 54 publications

(194 reference statements)

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“…The three-body system of 4 He atoms has been investigated in Refs. [8,26,27] using effective-field theory. While the universal properties of the three-body system of 4 He atoms were discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Four-boson system with short-range interactions

2004

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We consider the nonrelativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering length and compute the four-body binding energies using the Yakubovsky equations. Cutoff independence of the four-body binding energies does not require the introduction of a four-body force. This suggests that two-and three-body interactions are sufficient to renormalize the four-body system. We apply the equations to 4 He atoms and calculate the binding energy of the 4 He tetramer. We observe a correlation between the trimer and tetramer binding energies similar to the Tjon line in nuclear physics. Over the range of binding energies relevant to 4 He atoms, the correlation is approximately linear.

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Section: Introductionmentioning

confidence: 99%

“…While the universal properties of the three-body system of 4 He atoms were discussed in Ref. [26], this has not been done for the fourbody system.…”

Section: Introductionmentioning

confidence: 99%

Four-boson system with short-range interactions

2004

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“…Even though the ground state of the helium trimer is not a true Efimov state, it exhibits universal characteristics that are typical for weakly-bound trimer systems (see, e.g., Refs [41][42][43]…”

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confidence: 98%

Efimov Physics and the Three-Body Parameter for Shallow van der Waals Potentials

Blume

2015

Few-Body Syst

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Extremely weakly-bound three-boson systems are predicted to exhibit intriguing universal properties such as discrete scale invariance. Motivated by recent experimental studies of the ground and excited helium trimers, this work analyzes the three-body parameter and the structural properties of three helium atoms as the s-wave scattering length is tuned artificially. Connections with theoretical and experimental studies of the Efimov scenario as it pertains to cold atom systems are made.

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“…Owing to the very large scattering length (E10 2 Å) of the helium atom, the isotopically pure 4 He 3 trimer offers a unique atomic system to study the universality of a three-body problem 8 . In addition, it represents the most promising candidate for the Efimov effect in a naturally existing system 9 .…”

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Imaging the structure of the trimer systems 4He3 and 3He4He2

et al. 2014

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Helium shows fascinating quantum phenomena unseen in any other element. In its liquid phase, it is the only known superfluid. The smallest aggregates of helium, the dimer (He 2 ) and the trimer (He 3 ) are, in their predicted structure, unique natural quantum objects. While one might intuitively expect the structure of 4 He 3 to be an equilateral triangle, a manifold of predictions on its shape have yielded an ongoing dispute for more than 20 years. These predictions range from 4 He 3 being mainly linear to being mainly an equilateral triangle. Here we show experimental images of the wave functions of 4 He 3 and 3 He 4 He 2 obtained by Coulomb explosion imaging of mass-selected clusters. We propose that 4 He 3 is a structureless random cloud and that 3 He 4 He 2 exists as a quantum halo state.

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Universality in the three-body problem for4Heatoms

Cited by 64 publications

References 54 publications

Four-boson system with short-range interactions

Four-boson system with short-range interactions

Efimov Physics and the Three-Body Parameter for Shallow van der Waals Potentials

Imaging the structure of the trimer systems 4He3 and 3He4He2

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