Finite-range effects in energies and recombination rates of three identical bosons

Sørensen, P. K.; Fedorov, D. V.; Jensen, A. S.; Zinner, N. T.

doi:10.1088/0953-4075/46/7/075301

Cited by 17 publications

(22 citation statements)

References 45 publications

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“…5 of Ref. [40]). To get a simple estimate we now make some assumptions to relate our mass imbalanced case to the equal mass results.…”

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confidence: 88%

“…The trimer line on the far right in Fig. 1 [40]. However, other models have found different behaviour [41] and a more precise model such as a multichannel framework [42] seems necessary to explore this issue.…”

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confidence: 96%

“…Finite-range corrections can be one cause of such an effect. In a model where one also includes the effective range, r e , the threshold for the most bound Efimov trimer will move depending on the sign of r e [40]. The trimer line on the far right in Fig.…”

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confidence: 99%

“…[40]. This can be done by considering the relation between the scattering length at which an Efimov state emerges out of the three-atom continuum, a n − , and the energy on resonance of the same state, E n ∞ .…”

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confidence: 99%

“…In Ref. [40] the product of κ 0 a 0 − for the ground state of equal mass systems was explored when including the effective range using different scattering models (see Fig. 5 of Ref.…”

mentioning

confidence: 99%

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Efimov States in Li–Cs Mixtures within a Minimal Model

Zinner

Nygaard

2015

Few-Body Syst

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We use a minimal zero-range model for describing the bound state spectrum of three-body states consisting of two Cesium and one Lithium atom. Using a broad Feshbach resonance model for the two-body interactions, we show that recent experimental data can be described surprisingly well for particular values of the three-body parameter that governs the short-range behavior of the atomic potentials and is outside the scope of the zero-range model. Studying the spectrum as a function of the three-body parameter suggests that the lowest state seen in experiment could be influenced by finite range corrections. We also consider the question of Fermi degeneracy and corresponding Pauli blocking of the Lithium atoms on the Efimov states.Introduction. The ability to study few-body states in the low-energy regime with cold atoms has allowed the observation of Efimov three-body states [1,2] and also resonances associated with bound states of four or more particles [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. The key property of these low-energy bound states is a discrete scaling symmetry [23,24] that has been difficult to observe in experiments (a very recent paper presents evidence for the observation of a second Efimov resonance in Cesium [25]). Theory shows that systems with a large mass imbalance between the bound state constituents are highly suited for studying the discrete scaling since the scaling factor becomes small and more states should be observable within experimental constraints.

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“…5 of Ref. [40]). To get a simple estimate we now make some assumptions to relate our mass imbalanced case to the equal mass results.…”

mentioning

confidence: 88%

mentioning

confidence: 96%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…In Ref. [40] the product of κ 0 a 0 − for the ground state of equal mass systems was explored when including the effective range using different scattering models (see Fig. 5 of Ref.…”

mentioning

confidence: 99%

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