Dimer–atom–atom Recombination in the Universal Four-boson System

Deltuva, A.

doi:10.1007/s00601-012-0477-0

Cited by 7 publications

(7 citation statements)

References 34 publications

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“…The universal behavior of Efimov tetramers was also found by calculations in shortrange potential models [286,287,288], and has been observed in experiments using ultracold atomic gases of 7 Li [289], 39 K [290], and 133 Cs [291]. The long-predicted excited Efimov trimer of 4 He atoms has been recently observed in a Coulomb explosion imaging measurement [292].…”

Section: Four-body Systemssupporting

confidence: 56%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

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

179

238

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Abstract. Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction. Individual nucleons inside the core are thus unresolved in the halo configuration, and the low-energy effective interactions are short-range forces between the core and the valence nucleons. Similar phenomena occur in clusters of 4 He atoms, cold atomic gases near a Feshbach resonance, and some exotic hadrons. In these weakly-bound quantum systems universal scaling laws for s-wave binding emerge that are independent of the details of the interaction. Effective field theory (EFT) exposes these correlations and permits the calculation of non-universal corrections to them due to short-distance effects, as well as the extension of these ideas to systems involving the Coulomb interaction and/or binding in higher angular-momentum channels. Halo nuclei exhibit all these features. Halo EFT, the EFT for halo nuclei, has been used to compute the properties of single-neutron, two-neutron, and single-proton halos of s-wave and p-wave type. This review summarizes these results for halo binding energies, radii, Coulomb dissociation, and radiative capture, as well as the connection of these properties to scattering parameters, thereby elucidating the universal correlations between all these observables. We also discuss how Halo EFT's encoding of the long-distance physics of halo nuclei can be used to check and extend ab initio calculations that include detailed modeling of their short-distance dynamics.arXiv:1702.08605v2 [nucl-th] 5 Nov 2017 EFT for halo nuclei 2

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Section: Four-body Systemssupporting

confidence: 56%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

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

179

238

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“…[8,12]. The amplitude for the nnd breakup is obtained by the antisymmetrization of the general three-cluster breakup amplitude [16], resulting…”

Section: N Scattering Equationsmentioning

confidence: 99%

3H production via neutron-neutron-deuteron recombination

Deltuva

Fonseca

2013

Phys. Rev. C

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We study the recombination of two neutrons and deuteron into neutron and 3 H using realistic nucleon-nucleon potential models. Exact Alt, Grassberger, and Sandhas equations for the fournucleon transition operators are solved in the momentum-space framework using the complex-energy method with special integration weights. We find that at astrophysical or laboratory neutron densities the production of 3 H via the neutron-neutron-deuteron recombination is much slower as compared to the radiative neutron-deuteron capture. We also calculate neutron-3 H elastic and total cross sections.

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“…Atom-atom-dimer recombination. The universal result for the AAD recombination rate at threshold has been calculated by Deltuva [20]. The rate constant α AAD can be expressed asha 4 /m multiplied by a log-periodic function of a with discrete scaling factor e π/s0 ≈ 22.7, where s 0 ≈ 1.00624.…”

mentioning

confidence: 99%

“…The value of η 2 * can be determined by fitting Deltuva's results in Ref. [20]: η 2 * ≈ 0.01. If there are deep dimers, they provide additional recombination channels.…”

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confidence: 99%

Association of Atoms into Universal Dimers Using an Oscillating Magnetic Field

2015

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In a system of ultracold atoms near a Feshbach resonance, pairs of atoms can be associated into universal dimers by an oscillating magnetic field with frequency near that determined by the dimer binding energy. We present a simple expression for the transition rate that takes into account many-body effects through a transition matrix element of the contact. In a thermal gas, the width of the peak in the transition rate as a function of the frequency is determined by the temperature. In a dilute Bose-Einstein condensate of atoms, the width is determined by the inelastic scattering rates of a dimer with zero-energy atoms. Near an atom-dimer resonance, there is a dramatic increase in the width from inelastic atom-dimer scattering and from atom-atom-dimer recombination. The recombination contribution provides a signature for universal tetramers that are Efimov states consisting of two atoms and a dimer.

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Dimer–atom–atom Recombination in the Universal Four-boson System

Cited by 7 publications

References 34 publications

Effective field theory description of halo nuclei

Effective field theory description of halo nuclei

3H production via neutron-neutron-deuteron recombination

Association of Atoms into Universal Dimers Using an Oscillating Magnetic Field

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