Universal properties of the four-body system with large scattering length

Hammer, H.-W.; Platter, Lucas

doi:10.1140/epja/i2006-10301-8

Cited by 214 publications

(338 citation statements)

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“…Here the number in parentheses gives the difference in the last digit between the extrapolation in N and ǫ which can serve as an estimate of the numerical error. The spectra are much more compressed than the corresponding free space results [4][5][6][7][8][9]. However, a similar pattern can be observed: starting from A = 3, every A-body state is accomponied by a corresponding A + 1-body state.…”

Section: And 6 Identical Bosonsmentioning

confidence: 69%

Convergence properties of the effective theory for trapped bosons

Tölle¹,

Hammer²,

Metsch

2013

J. Phys. G: Nucl. Part. Phys.

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We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the interactions of the bosons can be approximated by contact interactions. We investigate the convergence properties of genuine and smeared contact interactions as the size of the model space is increased and present a detailed error analysis. The spectra for few-boson systems with up to 6 identical particles are calculated by combining extrapolations in the cutoff and in the smearing parameter.

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Section: And 6 Identical Bosonsmentioning

confidence: 69%

Convergence properties of the effective theory for trapped bosons

Tölle¹,

Hammer²,

Metsch

2013

J. Phys. G: Nucl. Part. Phys.

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“…Signatures of Efimov states were first observed in an ultracold gas of cesium atoms [7] and have since been found in many other systems, including other bosonic gases [8][9][10][11][12][13], three-component fermionic spin mixtures [14][15][16][17], and mixtures of atomic species [18][19][20][21]. Moreover, extensions of the Efimov scenario to universal states of larger clusters [22][23][24] have been demonstrated in experiments [9,25,26], highlighting the general nature of universal few-body physics.…”

Section: Introductionmentioning

confidence: 88%

Three-body parameter for Efimov states inLi6

O’Hara

Grimm

et al. 2014

Phys. Rev. A

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. (2014) 'Three-body parameter for E mov states in 6Li. ', Physical review A., 90 (4). 043636.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.90.043636Publisher's copyright statement:Reprinted with permission from the American Physical Society: Bo Huang (), Kenneth M. O'Hara, Rudolf Grimm, Jeremy M. Hutson, and Dmitry S. Petrov (2014) 'Three-body parameter for E mov states in 6Li.', Physical review A., 90 (4), 043636. c 2014 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We present a state-of-the-art reanalysis of experimental results on Efimov resonances in the three-fermion system of 6 Li. We discuss different definitions of the three-body parameter (3BP) for Efimov states and adopt a definition that excludes effects due to deviations from universal scaling for low-lying states. We develop a finite-temperature model for the case of three distinguishable fermions and apply it to the excited-state Efimov resonance to obtain the most accurate determination to date of the 3BP in an atomic three-body system. Our analysis of ground-state Efimov resonances in the same system yields values for the three-body parameter that are consistent with the excited-state result. Recent work has suggested that the reduced 3BP for atomic systems is a near-universal quantity, almost independent of the particular atom involved. However, the value of the 3BP obtained for 6 Li is significantly (∼20%) different from that previously obtained from the excited-state resonance in Cs. The difference between these values poses a challenge for theory.

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“…For N = 4 two states were found in the zero-range, inherently universal, effective field model [11]. These states also appeared as universal in finite-range models in connection with each Efimov state [12].…”

Section: Introductionmentioning

confidence: 90%

Universality of Brunnian (N-body Borromean) four- and five-body systems

2010

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We compute binding energies and root-mean-square radii for weakly bound systems of N = 4 and 5 identical bosons. Ground and first excited states of an N -body system appear below the threshold for binding the system with N − 1 particles. Their root-mean-square radii approach constants in the limit of weak binding. Their probability distributions are on average located in nonclassical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably nonuniversal, whereas excited states may be universal.

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Universal properties of the four-body system with large scattering length

Cited by 214 publications

References 31 publications

Convergence properties of the effective theory for trapped bosons

Convergence properties of the effective theory for trapped bosons

Three-body parameter for Efimov states inLi6

Universality of Brunnian (N-body Borromean) four- and five-body systems

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