Faddeev-UPE theory and three 4He atoms interacting through realistic diatomic potentials

Lim, T. K.; Damert, William C.; Duffy, K E

doi:10.1016/0009-2614(77)80294-7

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Cited by 15 publications

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“…The helium trimer has been the subject of many computational studies 10–22. Among the more recent of these, Nielsen et al 20 used Faddeev methods 23, 24 to obtain binding energies of 125.2 and 2.269 mK, respectively, for the ground and excited states of 4 He 3 and a binding energy of 13.06 mK for the ground state of 4 He 2 3 He.…”

Section: Introductionmentioning

confidence: 99%

Models for low‐temperature helium dimers and trimers

Lohr

Blinder

2001

Int J of Quantum Chemistry

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Section: Introductionmentioning

confidence: 99%

Models for low‐temperature helium dimers and trimers

Lohr

Blinder

2001

Int J of Quantum Chemistry

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Semiempirical hyperspherical model for ⁴He_N clusters

Lohr

Blinder

2005

Int J of Quantum Chemistry

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A semiempirical hyperspherical model for the ground states of lowtemperature helium clusters is proposed. Extension of the authors' delta function model for the helium dimer suggests an effective hyper-radial Schrö dinger equation with two empirical parameters. The parameters are fitted so as to reproduce the ground-state energies and RMS interatomic distances in Blume and Greene's quantum Monte Carlo computations for 4 He N clusters with N ϭ 3-10. The model can be extrapolated to N 3 ϱ to give a reasonable value for the binding energy per atom in a helium droplet.

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