Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical results for the Morse potential in s-wave ultracold
  scattering: three dimensional vs. one dimensional problem   Taking advantage of the known analytic expression of the eigenfunctions and
eigenenergies of the Morse Hamiltonian, explicit expressions are found for the
scattering length $a$ and the effective range $r_e$ which determine the s-wave
scattering of ultracold atoms. The effects on $a$ and $r_e$ of considering the
radial coordinate in the interval $[0,\infty)$ or in the extended region
$(-\infty, \infty)$ are studied in detail.

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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat