Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analytical approach to atomic multichannel collisions in tight
  harmonic waveguides   We perform an analytical investigation in the framework of generalized $K$
matrix theory of the scattering problem in tight isotropic and harmonic
waveguides allowing for several open scattering channels. The scattering
behavior is explored for identical bosons and fermions, as well as for
distinguishable particles, the main aspect being the confinement-induced
resonances (CIR) which are attributed to different partial waves. In particular
we present the unitarity bounds which emerge when considering a quasi one
dimensional system. Unitarity bounds are also given for the transition
coefficients, which show the limitations for efficient transversal
(de-)excitations by means of CIRs. We analyze the CIR for $d$-waves and find
the intriguing phenomenon of a strong transmission suppression in the presence
of more than one open channel, which represents an interesting regime to be
applied in the corresponding many-particle systems. The corresponding channel
threshold singularities are studied and it is shown that these are solely
determined by the symmetry class of the partial wave.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ