Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multichannel quantum defect theory with numerical reference functions:
  Applications to cold atomic collisions   We develop a method for the calculation of multichannel wavefunctions in the
spirit of quantum defect theory using numerically calculated reference
functions. We first verify our method by calculating cold collisional
properties of $^{85}$Rb and $^6$Li in the presence of external magnetic fields
tuned across specific $s$-wave Feshbach resonances and thereby reproducing
known results. We then calculate recently discovered $d$-wave Feshbach
resonance [Phys. Rev. Lett. {\bf 119}, 203402 (2017)] in $^{87}$Rb-$^{85}$Rb
cold collisions by our method. Our numerical results on this $d$-wave resonance
agree reasonably well with the experimental ones. Our method is applicable to
any arbitrary form of potentials and any arbitrary range of energies around
threshold. The implementation of our method to any multichannel two-body
scattering problem is straightforward.

21
The categories of this paper are: adap-org
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat