Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of the elastic scattering parameters in an ultra-cold
  Fermi-Bose and Bose-Bose Fr vapor   The calculations of the elastic scattering properties of ultracold-francium
isotopes are reported in the detail. A parametric model potential for the
triplet molecular states of the Fr$_{2}$ is represented, and the scattering
lengths at and the effective range $r_{e}$ are calculated using WKB and Numerov
methods for Fr-Fr in the triplet state. The convergence of these scattering
properties as the depending on a $K_{0}$ parameter and core radius is also
investigated using two method as Quantum Defect Theory and analytical formula
of symskovisky.

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The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph