Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Field Theory Analysis of Three-Boson Systems at
  Next-To-Next-To-Leading Order   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, $\ell$. 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 (N$^2$LO)
in the $\ell/a$ 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 N$^2$LO 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 N$^2$LO 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.

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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga