Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal nature and finite-range corrections in elastic atom-dimer
  scattering below the dimer breakup threshold   We investigate universal behavior in elastic atom-dimer scattering below the
dimer breakup threshold calculating the atom-dimer effective-range function
$ak\cot\delta$. Using the He-He system as a reference, we solve the
Schr\"odinger equation for a family of potentials having different values of
the two-body scattering length $a$ and we compare our results to the universal
zero-range form deduced by Efimov,
$ak\cot\delta=c_1(ka)+c_2(ka)\cot[s_0\ln(\kappa_*a)+\phi(ka)]$, for selected
values of the three-body parameter $\kappa_*$. Using the parametrization of the
universal functions $c_1,c_2,\phi$ given in the literature, a good agreement
with the universal formula is obtained after introducing a particular type of
finite-range corrections. Furthermore, we show that the same parametrization
describes a very different system: nucleon-deuteron scattering below the
deuteron breakup threshold. Our analysis confirms the universal character of
the process, and relates the pole energy in the effective-range function of
nucleon-deuteron scattering to the three-body parameter $\kappa_*$.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess