Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contrasting the wide Feshbach resonances in $^6$Li and $^7$Li   We compare and contrast the wide Fehbach resonances and the corresponding
weakly bound states in the lowest scattering channels of ultracold $^6$Li and
$^7$Li. We use high-precision measurements of binding energies and scattering
properties to determine new interaction potentials, incorporating
non-Born-Oppenheimer terms to account for the failure of mass scaling between
$^6$Li and $^7$Li. Correction terms are needed for both the singlet and the
triplet potential curves. The universal formula relating binding energy to
scattering length is not accurate for either system. The $^6$Li resonance is
open-channel-dominated and the van der Waals formula of Gao [J. Phys. B 37,
4273 (2004)] gives accurate results for the binding energies across much of the
resonance width. The $^7$Li resonance, by contrast, is weakly
closed-channel-dominated and a coupled-channels treatment of the binding
energies is required. Plotting the binding energies in universal van der Waals
form helps illustrate subtle differences between the experimental results and
different theoretical forms near the resonance pole.

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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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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: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn