<i>Ab Initio</i>Calculations for Helium: A Standard for Transport Property Measurements

Aziz, Ronald A.; Janzen, A.; Moldover, Michael R.

doi:10.1103/physrevlett.74.1586

Cited by 348 publications

(260 citation statements)

References 30 publications

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“…(26). In the case of 4 He, their result for the HFD-B3-FCI1 potential [40] is α = 0.12 × 10 −27 cm 6 /s. A new calculation in the hyperspherical adiabatic representation that also uses the HFD-B3-FCI1 potential has recently been carried out [22].…”

Section: Three-body Recombinationmentioning

confidence: 99%

Universality in the three-body problem for4Heatoms

Braaten

Hammer

2003

Phys. Rev. A

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The two-body scattering length a for 4 He atoms is much larger than their effective range r s . As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality implies that, up to corrections suppressed by r s /a, all low-energy three-body observables are determined by a and a three-body parameter Λ * . We give simple expressions in terms of a and Λ * for the trimer binding energy equation, the atom-dimer scattering phase shifts, and the rate for three-body recombination at threshold. We determine Λ * for several 4 He potentials from the calculated binding energy of the excited state of the trimer and use it to obtain the universality predictions for the other low-energy observables. We also use the calculated values for one potential to estimate the effective range corrections for the other potentials.

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Section: Three-body Recombinationmentioning

confidence: 99%

Universality in the three-body problem for4Heatoms

Braaten

Hammer

2003

Phys. Rev. A

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“…There are several modern potentials that are believed to describe the interactions of 4 He atoms with low energy accurately. The only one for which the 3-body recombination rate has been calculated is the HFD-B3-FCI1 potential [16]. The scattering length for the HFD-B3-FCI1 potential is a = 172 a 0 .…”

Section: Analysis Of 4 He Atomsmentioning

confidence: 99%

Universality constraints on three-body recombination for cold atoms: FromHe4toCs133

2007

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For atoms with large scattering length, the dependence of the 3-body recombination rate on the collision energy is determined by the scattering length and the Efimov 3-body parameters and can be expressed in terms of universal functions of a single scaling variable. We use published results on the 3-body recombination rate for 4 He atoms to constrain the universal functions. We then use those universal functions to calculate the 3-body recombination rate for other atoms with large scattering length at nonzero temperature. The constraints from the 4 He results are strong if the scattering length is near the minimum of the 3-body recombination rate at threshold. We apply our results to 133 Cs atoms with a large positive scattering length, and compare them with experimental results from the Innsbruck group.

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“…One can also solve Eq. (14) neglecting the diagonal coupling term Q νν (R). This corresponds to the hyperspherical equivalent of the Born-Oppenheimer approximation.…”

Section: A Bound State Energiesmentioning

confidence: 99%

“…(14). We solve these equations by expanding F ν (R) onto a set of fifth order basis splines in R. Typically, a solution of the coupled equations including 10 adiabatic channels takes about 1 minute of CPU time using one 1.6-GHz-Itanium2 processor on an SGI Altix 4700 supercomputer.…”

Section: A Bound State Energiesmentioning

confidence: 99%

“…This potential has been used to calculate various properties of the helium dimer and trimer [6,7,8,9] as well as their scattering observables [10,11,12,13]. The HFD-B3-FCI1 potential developed by Aziz et al [14] has also been used to calculate the three-body recombination rates of cold helium atoms [15,16,17]. Jeziorska et al [18] and Cencek et al [19] have recently developed not only a helium dimer potential, but also the retardation correction to the dimer potential and the nonadditive three-body term.…”

Section: Introductionmentioning

confidence: 99%

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Adiabatic hyperspherical study of triatomic helium systems

2008

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The 4 He 3 system is studied using the adiabatic hyperspherical representation. We adopt the current state-of-the-art helium interaction potential including retardation and the nonadditive three-body term, to calculate all low-energy properties of the triatomic 4 He system. The bound state energies of the 4 He trimer are computed as well as the 4 He+ 4 He 2 elastic scattering cross sections, the three-body recombination and collision induced dissociation rates at finite temperatures. We also treat the system that consists of two 4 He and one 3 He atoms, and compute the spectrum of the isotopic trimer 4 He 2 3 He, the 3 He+ 4 He 2 elastic scattering cross sections, the rates for three-body recombination and the collision induced dissociation rate at finite temperatures.The effects of retardation and the nonadditive three-body term are investigated. Retardation is found to be significant in some cases, while the three-body term plays only a minor role for these systems.

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Ab InitioCalculations for Helium: A Standard for Transport Property Measurements

Cited by 348 publications

References 30 publications

Universality in the three-body problem for4Heatoms

Universality in the three-body problem for4Heatoms

Universality constraints on three-body recombination for cold atoms: FromHe4toCs133

Adiabatic hyperspherical study of triatomic helium systems

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