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- W2058345524 abstract "We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, a, which is large compared to the range of the interaction, ℓ. The amplitude for the scattering of one boson off a bound state of the other two is computed to next-to-next-to-leading order (N2LO) in the ℓ/a expansion. At this order, two pieces of three-body data are required as input in order to renormalize the amplitude (for fixed a). We apply our results to a model system of three Helium-4 atoms, which are assumed to interact via the TTY potential. We generate N2LO predictions for atom-dimer scattering below the dimer breakup threshold using the bound-state energy of the shallow Helium-4 trimer and the atom-dimer scattering length as our two pieces of three-body input. Based on the convergence pattern of the SREFT expansion, as well as differences in the predictions of two renormalization schemes, we conclude that our N2LO phase- shift predictions will receive higher-order corrections of < 0.2 %. In contrast, the prediction of SREFT for the binding energy of the “deep” trimer of Helium-4 atoms displays poor convergence." @default.
- W2058345524 created "2016-06-24" @default.
- W2058345524 creator A5063786122 @default.
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- W2058345524 date "2013-04-21" @default.
- W2058345524 modified "2023-10-10" @default.
- W2058345524 title "Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order" @default.
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- W2058345524 doi "https://doi.org/10.1007/s00601-013-0710-5" @default.
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