Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperspherical-LOCV Approximation to Resonant BEC   We study the ground state properties of a system of $N$ harmonically trapped
bosons of mass $m$ interacting with two-body contact interactions, from small
to large scattering lengths. This is accomplished in a hyperspherical
coordinate system that is flexible enough to describe both the overall scale of
the gas and two-body correlations. By adapting the lowest-order constrained
variational (LOCV) method, we are able to semi-quantitatively attain
Bose-Einstein condensate ground state energies even for gases with infinite
scattering length. In the large particle number limit, our method provides
analytical estimates for the energy per particle $E_0/N \approx 2.5 N^{1/3}
\hbar \omega$ and two-body contact $C_2/N \approx 16
N^{1/6}\sqrt{m\omega/\hbar}$ for a Bose gas on resonance, where $\omega$ is the
trap frequency.

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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: math